Question: In each of the situations below, determine whether it is reasonable to use a binomial distribution for the random variable X . If it is binomial, give the values of n and p (if they known give the values, if unknown, give reasonable values). If it is not binomial, state which assumption is violated and briefly justify why.

a) An auto manufacturer chooses one car for each hour’s production for a detailed quality inspection. X is the number of finish defects (dimples, ripples, etc…) in the car’s paint.

b) David Ortiz is known to hit a home run in 6% of his plate appearances. Let X represent the number of homeruns he hits in the next 100 plate appearances.

c) You toss a fair coin until a heads appears. X is the count of the number of tosses that you make.

d) A nutrition study chooses an SRS of college students. They are asked whether or not they usually eat at least five servings of fruit or vegetables per day. X is the number who say that they do.