Question: please answer ASAP!!! A guy randomly picks sticks from three boxes, A, B and C. The sticks he picked, 20% are from A, 37% from

please answer ASAP!!!

A guy randomly picks sticks from three boxes, A, B and C. The sticks he picked, 20% are from A, 37% from B and the rest from C.

a) LetSbe the number of sticks the guy picks until he picks the first one from C. What is the average numberthe guy picks until he picks the first one from C? Whats the distribution, parameter(s) and support ofS?

b) What is the probability that the guy picks at least 4 sticks until he picks the first one from C?

c) LetVbe the number of sticks the guy picks until he picks the 5th stick that is from B. What is the probability that it he picks exactly 9 sticks until he picks the 5th one from B? what is the distribution and parameter(s) ofV?

d) If there is a list of sticks that the guy can pick, 8 from A, 10 from B and 12 from C. He will pick 10 sticks, assume no stick is picked twice. LetWbe the number of sticks he picks from A. What is the probability that he picks 3 sticks from A? What is the distribution and parameter(s) ofW?

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