- Questions 8 To 11 The Random Variable Z Has A Standard Normal Distribution 8 Find P Z 0 63 9 Find P 1 21 Z 1 1 (90.76 KiB) Viewed 43 times
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questions 8. to 11., the random variable z has a standard normal distribution 8. Find P(Z < -0.63). 9. Find P(1.21 <z< 1.37). 10. 11. Find P(-0.31 <z< 1.31). Find P(Z 2 -1.61). 12. A traffic study at one point on an interstate highway shows that vehicle speeds are normally distributed with a mean of 61.3 mph and a standard deviation of 3.3 mph. If a vehicle is randomly checked, find the probability that its speed is between 55.0 mph and 60.0 mph. 13. a. Reading comprehension scores for junior high students in a school district are normally distributed with a mean of 80.0 and a standard deviation 5.0. What percent have scores greater than 87.5? What percent have scores between 75 and 85? What is the upper 5% percentile? What is the lower 5% percentile? b. c. d. 14. a. X has a normal distribution with a mean of 75.0 and a standard deviation of 2.5. Find the a following probabilities: P(X< 70.0) b. P(72.5 X < 80.0) P(X > 82.5) c.