A bowl of candy contains 15 Snickers and 30 Twix. For each of the following: (1) Clearly and completely Identify the distribution (X-_). Find the indicated quantity. a. Consider randomly picking pleces of candy from the bowl with replacement. What is the probability that your third Snickers happens on your eighth selection? (4 points) x- geometricNB ( 3, 3 ) X = Candy chosen P ( X = 8 trails ) = 0 00390625 b. Consider randomly picking pieces of candy from the bowl with replacement. How many pieces should you expect to pick in order to get your first Snickers? (3 points) * geometric( ? ) X = candy Chosen mean = 1 P = C. Consider randomly picking pieces of candy from the bowl with replacement What is the probability that your first Snickers is pickedafter the first six pieces of candy selected? (4 points) x - NB com ( 3 ) r= 6 P = OS 6 - 1 /05 ( 1 - 7 0 5 ) =0 X = 1 P (X 76 ) d. Consider randomly picking ten pieces of candy from the bowl without replacement. What is the probability that you pick fewer than three Snickers? (4 points) H9 ( 45, 15, 10)