Look at the following cases and determine whether the variable of interest has a binomial distribution. if it does, give the values of the parameters n and p. if it doesn't, explain why not.
a. you are dealt a five-card poker hand. x = the number of diamonds in your hand.
b. you randomly select one card from each of ten different decks of playing cards. x = number of clubs selected.
c. heights of females in some population follow a normal distribution with a mean of 65 inches and standard deviation of 1.5 inches. we take a random sample of three women. x = number of women in the sample shorter than 64 inches.
d. a boy asks the same girl to go out on a date every day for a week. x = the number of times the girl agrees to go on the date.
e. a multiple choice exam has 30 questions with choices (a, b, c, d and e). an unprepared student guess all of the answers. x = the number of answers he gets correct.