A Dutch researcher reads that male height in the Netherlands has a normal distribution with μ = 72.0 inches and σ = 4.0 inches. She prefers to convert this to the metric scale (1 inch = 2.54 centimeters). The mean and standard deviation then have the same conversion factor.
a. In centimeters, would you expect the distribution still to be normal? Explain.
b. Find the mean and standard deviation in centimeters. (What does 72.0 inches equal in centimeters?)
c. Find the probability that height exceeds 200 centimeters.