Problem 2: (21 points total) Suppose 25% of the 1,200 fish in a lake have been tagged as part of a study. We capture and release 20 fish, with replacement. Let X = the number of tagged fish we capture. Answer the following: a) (6 points) What is the expected value of X ? b) (6 points) Specify the distribution of X : X c) (9 points) What is the probability of getting 7 or more tagged fish. That is, compute P ( X 7 ) . .