MATH 225N Week 5 Assignment: Evaluating Probability Using the Normal Distribution{GRADED A}

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.