The mean height for a population is 65 inches and the standard deviation is 3 inches. Let A and B denote the events described below.
Event A: The height of a randomly selected individual is 5 inches or more above the population mean.
Event B: the mean height in a random sample of 16 people is 5 inches or more above the population mean.
Is the probability of event A is greater than the probability of event B? Why?