Statistics

Solve each of the following problems. Write a sentence of explanation for each major step in your solutions. Show all work for full credit. 1. The average time to commute between downtown Cincinnati and the CVC airport during rush hour is 33 minutes with a standard deviation of 8 minutes. (a) Compute the z-scores of the following driving times i. 22 minutes ii. 35 minutes (b) If the z-score of a driving time is -2.44, i.e., the driving time is 2.44 standard deviations less than the mean, compute the actual driving time. 2. The random variable a has a normal distribution with / = 120 and e = 45. Compute the probabilities and sketch a corresponding graph of a normal distribution. (a) p(x 150) (c) p(95