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QUESTION

# In each of the following cases, determine whether the variable of interest has a binomial distribution. If it does, give the values of the parameters...

In each of the following cases, 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 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.(e) A basketball players makes three quarters of his free throw attempts. Assume that all of his free throw attempts are independent. A player takes 300 free throw attempts in year.X = the number of free throw attempts made.