There are eight teams in the playoffs, and one of the eight teams will win the World Series. We assume that grandmother picks her team completely at random each year. Incredibly, grandmother wins the pool by picking the correct team in three of the five years since she has picked teams. Before computing the probability of this event, define the random variable of interest and give its distribution. Compute the probability that grandmother picks the winning team 3 times out of 5 tries.
Researchers are interested in studying the effects of a new diet.
They found that the weight loss over a one-month period by those on the diet was uniformly distributed from 5 to 20 pounds. Define the random variable of interest and give its distribution, including the values of all parameters. Under this diet plan, find the amount of weight loss such that 90 percent of all dieters using this plan will experience more than this much in weight loss. Define the random variable of interest and give its distribution, including the values of all parameters. Psychologists claim that the amount of nightly sleep obtained by a university student during finals week is normally distributed with mean 5.5 hours and a standard deviation of 1.75 hours.