Binomial setting? In each situation below, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answer in each case.

(a) An auto manufacturer chooses one car from each hour’s production for a detailed quality inspection. One variable recorded is the count X of finish defects

(dimples, ripples, etc.) in the car’s paint.

(b) The pool of potential jurors for a murder case contains 100 persons chosen at random from the adult residents of a large city. Each person in the pool is asked whether he or she opposes the death penalty; X is the number who say

“Yes.”

(c) Joe buys a ticket in his state’s Pick 3 lottery game every week; X is the number of times in a year that he wins a prize.