Problem Set G
Question 1What's wrong with the following statement? "Because the digits 0, 1, 2, . . . , 9 are the normal results from lottery drawings, such randomly selected numbers have a normal distribution."Choose the correct answer below.
A. The lottery digits have a normal distribution only if the digits are drawn with replacement, which is not specified.B. Since the probability of each digit being selected isequal, lottery digits have a uniformdistribution, not a normal distribution.C. The lottery digits have a normal distribution only if the digits are drawn without replacement, which is not specified.D. It is not the randomly selected digits that have a normal distribution but rather the chances of winning the lottery.
Question 2A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.Choose the correct answer below.
Question 3What requirements are necessary for a normal probability distribution to be a standardnormal probability distribution?Choose the correct answer below.
Question 4What does the notation zαindicate?
Question 5The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
(Simplify your answer. Round to three decimal places as needed.)