Use the following information to answer the next three exercises: The length of time it takes to find a parking space at 9 a.m. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes.
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual.
- X ~ _____ (_____ ,_____)
- Find the probability that the person is between 65 and 69 inches. Include a sketch of the graph, and write a probability statement.
- Would you expect to meet many Asian adult males taller than 72 inches? Explain why or why not, and numerically justify your answer.
- The middle 40 percent of heights fall between what two values? Sketch the graph, and write the probability statement.
OpenStax Statistics, 6.2 Using the Normal Distribution, exercise 43