MATH 225N Week 5 Assignment: Evaluating Probability Using the Normal Distribution
- Question: After collecting the data, Tammy finds that the total snowfall per year in Linndale is normally … with mean 99 inches and standard deviation 13 inches. What is the probability that in a randomly selected year, the snowfall was greater than 112 inches? Use the empirical rule.
- Question: After collecting the data, Peter finds that the standardized test scores of the students in a school are normally … with mean 85 points and standard deviation 3 points. Use the Empirical Rule to find the probability that a randomly selected student’s score is greater than 76points. Provide the final answer as a percent rounded to two decimal places.
- Question: The times to complete an obstacle course is normally … with mean 87 seconds and standard deviation 7 seconds. What is the probability that a randomly selected finishing time is greater than 80 seconds? Use the empirical rule
- Question: A normal distribution is … from the number of points per game for a certain basketball If the mean is 16 points and the standard deviation is 2points, what is the probability that in a randomly selected game, the player scored between 12 and 20points? Use the empirical rule
MATH 225N Week 5 Assignment: Evaluating Probability Using the Normal Distribution
- Question: Wilson’s math test scores are … with a mean score of 73 (μ) and a standard deviation of 5 (σ). Using the Empirical Rule, about 99.7% of the scores lie between which two values?
- Question: Miller’s geometry test scores are … with a mean score of 70 (μ) and a standard deviation of 3 (σ). Using the Empirical Rule, about 95% of the scores lie between which two values?
- Question: Wilson’s statistics test scores are … with a mean score of 72 (μ) and a standard deviation of 3 (σ). Using the Empirical Rule, about 68% of the scores lie between which two values?
- Question: Karly’s math test scores are … with a mean score of 87 (μ) and a standard deviation of 4 (σ). Using the Empirical Rule, about 99.7% of the data values lie between which two values?
- Question: 2014, the CDC estimated that the mean height for adult women in the U.S. was 64 inches with a standard deviation of 4 Suppose X, height in inches of adult women, follows a normal distribution. Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches?
- Question: The number of pages per book on a bookshelf is normally distributed with mean 189 pages and standard deviation 20 What is the probability that a randomly selected book has greater than 229 pages? Use the empirical rule
- Question: After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 Use the Empirical Rule to find the probability that a randomly selected student’s score is greater than 76 points.
