MATH 221 Week 2 Homework: Statistics for Decision-Making (Collection)

 (MATH 221 Week 2 Homework)

For your better preparation, we have compiled multiple versions from recently taken homework tests. The download includes correct answers for all the questions available below: 

MATH 221 Week 2 Homework: Statistics for Decision-Making (May 2021)

1. Question: Given the following information, find the probability that a randomly … student will be very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21
2. Question: Given the following information, find the probability that a randomly … dog will not … a golden retriever. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38
3. Question: Given that there is a 22% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?
4. Question: Consider the following table. What is the probability of red?
5. Question: Consider the following table. What is the probability of green, given no?
6. Question: In a sample of 350 customers, 125 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
7. Question: Some days, the CEO holds meetings and some days the CEO is wearing blue shoes. How would you most likely classify these events?
8. Question: Of the shirts produced by a company, 5% have loose threads, 9% have crooked stitching, and 3.5% have loose threads and … stitching. Find the probability that a randomly … shirt has loose threads or has crooked
9. Question: Randomly select a customer that drives to our store. Randomly select a customer who is 14 years old. Are these events mutually exclusive?
10. Question: In a sample of 800 adults, 228 said that they … sugar cereals. Three adults are … at random without replacement. Find the probability that all three like sugar cereals.
11. Question: A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
12. Question: An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.
13. Question: An investment advisor believes that there is a 74% chance of making money by investing in a specific stock. If the stock makes money, then there is a 54% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a
14. Question: A smartphone company found in a survey that 20% of people did not own a smartphone, 28% owned a smartphone only, 14% owned a smartphone and only a tablet, 13% … a smartphone and only a computer, and 25% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer?
15. Question: Match the terms and their definitions
    

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MATH 221 Week 2 Homework: Statistics for Decision-Making (v1)

1. Question: A quality control officer states that there is a 0.03 probability that a randomly chosen part is defective. This would … :
2. Question: Given the following information, find the probability that a randomly … student will be tall, but not very tall. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21
3. Question: Given the following information, find the probability that a randomly … dog will be a golden retriever. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38
4. Question: Given that there is a 21% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?
5. Question: Consider the following table. What is the probability of red?
6. Question: Consider the following table. What is the probability of red? Given yes?
7. Question: A card is randomly selected from a standard deck of 52 cards. What is P(face card)?
8. Question: In a sample of 400 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
9. Question: In a sample of 528 customers, 484 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?
10. Question: A company finds that when they pay employees more, the employees are more productive. How would you classify these events, based on this finding?
11. Question: A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that the purchase results in a selection of a cracker with number less than or equal to 4, or a number greater than 10?
12. Question: Of the shirts produced by a company, 8% have loose threads, 7.5% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
13. Question: Randomly select a customer that drives to our store. Randomly select a customer who is 14 years old. Are these events mutually exclusive?
14. Question: In a sample of 800 adults, 228 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.
15. Question: In a sample of 80 adults, 24 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend.
16. Question: A sock drawer has 17 folded pairs of socks, with 7 pairs of white, 6 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
17. Question: An investment advisor believes that there is a 28% chance of making money by investing in a specific stock. If the stock makes money, then there is a 43% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.
18. Question: An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.
19. Question: A smart phone company found in a survey that 14% of people did not own a smart phone, 31% owned a smart phone only, 17% owned a smart phone and only a tablet, 25% owned a smart phone and only a computer, and 13% owned all three. If a person were selected at random, what is the probability that the person would own a smart phone only or a smart phone and computer only?
20. Question: Match the terms and their definitions: 1. 0 and 1    (Probability is between) 2. 1 – P(E)   (Complement of an event) 3. The occurrence of one event does not affect the occurrence of the other (Independent events) 4. Cannot occur at the same time ( Mutually exclusive events) 5. Probability of an event given that another event has occurred   ( Conditional probability)
    

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MATH-221 Week 2 Homework: Statistics for Decision-Making (v2)

1. Question: A quality control officer states that there is 0.03 probability that a randomly chosen part is defective, This would … :
2. Question: Given the following information, find the probability that a randomly … student will be short or very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21
3. Question: Given the following information, find the probability that a randomly … dog will be golden retriever or a poodle. Number of doges who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38
4. Question: Given that there is 22% chance that it will rain on any day. What is the probability that it will rain on the first day and be clear (not rain) on the next two days.
5. Question: Consider the following table. What is the probability of red?
6. Question: Consider the following table. What is the probability of red? Given yes?
7. Question: A card is randomly selected from a standard deck of 52 cards. What is P(red)?
8. Question: In a sample of 400 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
9. Question: In a sample of 587 customers, 308 say they are happy with the service. If you select three customers without replacement for a commercial. What is the probability that all will say they are happy with the service?
10. Question: Some days the CEEO holds meeting and some days the CEO is wearing blue shoes. How would you most likely classify these events?
11. Question: A company sells 14 types of crackers that they label 1 to 14, based on spice level. What is the probability that one purchase results in a purchase of cracker with an even number or a number less than 5?
12. Question: Of the shirts buy a company, 6.5% have loose threads, 5% have crooked stitching and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
13. Question: Randomly selected customer who is happy with the company. Randomly selected customer who is elderly. Are these events mutually exclusive?
14. Question: In a sample of 200 adults, 242 said that they liked sugar cereals. Three adults are …randomly without replacement. Find the probability that all three liked sugar cereals.
15. In a sample of 80 adults, 15 said that they would buy a car from a friend. Three adults are … randomly without replacement. Find the probability that none of the three would buy a car from a friend.
16. Question: A sock drawer has 17 folded pairs of socks with 8 pairs of white, 5 pairs of and 4 pairs of blue. What is the probability without looking in the drawer, that you will select and remove a black pair rather than a blue or a white?
17. Question: An investment advisor believes that there is 20% chance of making money by investing in a specific stock. If the stock makes money then there is 43% chance that among those making money they would also get dividend. Find the probability that an investor makes money and receive a dividend.
18. Question: An investment advisor believes that there is 20% chance of making money by investing in a specific stock. If the stock makes money then there is 43% chance that among those making money they would also get dividend. Find the probability that an investor makes money but does not receive a dividend.
19. Question: A smart phone company found in a survey that 6% of people did not own a smart phone,15% owned a smart phone only, 26% owned a smart phone and only a tablet, 32% owned a smart phone and only a computer, and 21% owned all three. If a person were selected at random, what is the probability that the person would own a smart phone only or a smart phone and computer only?
20. Question: Match the terms and their definitions: 1. 0 and 1    (Probability is between) 2. 1 – P(E) (Complement of an event) 3. The occurrence of one event does not affect the occurrence of the other (Independent events) 4. Cannot occur at the same time ( Mutually exclusive events) 5. Probability of an event given that another event has occurred ( Conditional probability)
    

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MATH 221 Week 2 Homework: Statistics for Decision-Making (v3)

1. Question: The probability of drawing one card and getting queen is 4/52. This would … :
2. Question: Given the following information, find the probability that a randomly … student will be very tall. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21
3. Question: Given the following information, find the probability that a randomly … dog will not … a golden retriever. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38
4. Question: Given that there is a 28% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?
5. Question: Consider the following table. What is the probability of red?
6. Question: Consider the following table. What is probability of no, … blue?
7. Question: A card is randomly selected from a standard deck of 52 cards. What is P(heart)?
8. Question: In a sample of 500 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
9. Question: In a sample of 528 customers, 484 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?
10. Question: A company finds that when they pay employees more, the employees are more productive. How would you classify these events, based on this finding?
11. Question: A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that one purchase results in a selection of a cracker with an even number or a number less than 5?
12. Question: Of the shirts produced by a company, 5% have loose threads, 9% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
13. Question: Randomly select a customer that drives to our store. Randomly select a customer who is 14 years old. Are these events mutually exclusive?
14. Question: In a sample of 784 adults, 258 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.
15. Question: In a sample of 80 adults, 15 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend.
16. Question: A sock drawer has 17 folded pairs of socks, with 7 pairs of white, 6 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
17. Question: An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.
18. Question: An investment advisor believes that there is a 74% chance of making money by investing in a specific stock. If the stock makes money, then there is a 54% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.
19. Question: A smart phone company found in a survey that 20% of people did not own a smart phone, 28% owned a smart phone only, 14% owned a smart phone and only a tablet, 13% owned a smart phone and only a computer, and 25% owned all three. If a person were selected at random, what is the probability that the person would own a smart phone only or a smart phone and computer only?
20. Question: Match the terms and their definitions: 1. 0 and 1 (Probability is between) 2. 1 – P(E) (Complement of an event) 3. The occurrence of one event does not affect the occurrence of the other (Independent events) 4. Cannot occur at the same time ( Mutually exclusive events) 5. Probability of an event given that another event has occurred ( Conditional probability)
    

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MATH-221 Week 2 Homework: Statistics for Decision-Making (v4)

1. Question: The probability of drawing one card and getting queen is 4/52. This would … :
2. Question: Given the following information, find the probability that a randomly … student will be short or very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21
3. Question: Given the following information, find the probability that a randomly … dog will be a golden retriever or a poodle. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38
4. Question: Given that there is a 22% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?
5. Question: Consider the following table. What is the probability of red?
6. Question: Consider the following table. What is probability of no, given blue?
7. Question: A card is randomly selected from a standard deck of 52 cards. What is P(heart)?
8. Question: In a sample of 350 customers, 125 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
9. Question: In a sample of 487 customers, 301 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?
10. Question: A company finds that when they pay employees more, the employees are more productive. How would you classify these events, based on this finding?
11. Question: A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that the purchase results in a selection of a cracker with an odd number, or a number greater than 11?
12. Question: Of the shirts produced by a company, 5.5% have loose threads, 8.5% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
13. Question: Randomly select a customer that is happy with the store. Randomly select a customer who infrequently shops at the store. Are these events mutually exclusive?
14. Question: In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.
15. Question: In a sample of 80 adults, 28 said that they would buy a car from a friend. Three adults are … at random without replacement. Find the probability that none of the three would buy a car from a friend.
16. Question: A sock drawer has 17 folded pairs of socks, with 8 pairs of white, 5 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
17. Question: An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.
18. Question: An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.
19. Question: A smart phone company found in a survey that 14% of people did not own a smart phone, 31% owned a smart phone only, 17% owned a smart phone and only a tablet, 25% owned a smart phone and only a computer, and 13% owned all three. If a person were selected at random, what is the probability that the person would own a smart phone only or a smart phone and computer only?
20. Question: Match the terms and their definitions: 1. 0 and 1 (Probability is between) 2. 1 – P(E) (Complement of an event) 3. The occurrence of one event does not affect the occurrence of the other (Independent events) 4. Cannot occur at the same time ( Mutually exclusive events) 5. Probability of an event given that another event has occurred ( Conditional probability)
    

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MATH 221 Week 2 Homework: Statistics for Decision-Making (v5)

1. Question: According to company records, the probability that a washing machine will break in the first year is 4%. This would … :
2. Question: Given the following information, find the probability that a randomly … student will be very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21
3. Question: Given the following information, find the probability that a randomly … dog will be a golden retriever or a poodle. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38
4. Question: Given that there is a 21% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?
5. Question: Consider the following table. What is the probability of blue?
6. Question: Consider the following table. What is the probability of red, given yes?
7. Question: A card is randomly selected from a standard deck of 52 cards. What is P(face card)?
8. Question: In a sample of 500 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
9. Question: In a sample of 528 customers, 484 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?
10. Question: A company finds that when they pay employees more, the employees are more productive. How would you classify these events, based on this finding?
11. Question: A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that one purchase results in a selection of a cracker with an even number or a number less than 5?
12. Question: Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
13. Question: Randomly select a customer that is happy with the company. Randomly select a customer who is elderly. Are these events mutually exclusive?
14. Question: In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are … at random without replacement. Find the probability that all three like sugar cereals.
15. Question: In a sample of 80 adults, 28 said that they would buy a car from a friend. Three adults are … at random without replacement. Find the probability that none of the three would buy a car from a friend.
16. Question: A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
17. Question: An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.
18. Question: An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.
19. Question: A smart phone company found in a survey that 6% of people did not own a smart phone, 15% owned a smart phone only, 26% owned a smart phone and only a tablet, 32% owned a smart phone and only a computer, and 21% owned all three. If a person were … at random, what is the probability that the person would own a smart phone only or a smart phone and computer only?
20. Question: Match the terms and their definitions:

• 0 and 1 (Probability is between)
• 1 – P(E) (Complement of an event)
• The occurrence of one event does not affect the occurrence of the other (Independent events)
• Cannot occur at the same time ( Mutually exclusive events)
• Probability of an event given that another event has occurred ( Conditional probability)

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