In a continuous uniform distribution,
μ = minimum + maximum / 2 and σ = range / √12
a. Find the mean and standard deviation for the distribution of the subway waiting times represented in Figure.
b. For a continuous uniform distribution with m = 0 and s = 1, the minimum is -23 and the maximum is 23. For this continuous uniform distribution, find the probability of randomly selecting a value between – 1 and 1, and compare it to the value that would be obtained by incorrectly treating the distribution as a standard normal distribution. Does the distribution affect the results very much?