Chet the dog likes to dig holes in the yard. He has buried bones in some of

Question:

Chet the dog likes to dig holes in the yard. He has buried bones in some of the holes, but others he dug just for fun. He covers them back up with a little mound of dirt when he is done digging. The yard has 20 holes that have been filled up, and 8 of them contain bones. Chet decides to randomly search 4 of the holes (without replacement) in hopes of finding some of his bones. Let X be the number of bones he finds.
a. Give the probability mass function for the number of bones Chet finds.
b. Give the cumulative function for the number of bones he finds.
c. What is the probability he finds at most 3 bones?
d. What is the probability he finds at least 2 bones?
e. What is the probability he finds exactly 2 bones given that he finds at most 3 bones? Distribution
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