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A small pond contains 50 fish, 15 of which have been tagged. Suppose that a fisherman’s...

A small pond contains 50 fish, 15 of which have been tagged. Suppose that a fisherman’s catch consists of five fish. (Assume that these five fish form a random sample of size five selected without replacement.) Let X denote the number of tagged fish that are caught.

a) What is the name of the distribution of X and what is the p.m.f. of X for this example? Provide an expression for pX(x).

b) Find the probability that the fisherman’s catch will contain at most 4 tagged fish.

c) Use the appropriate expressions from section 7.9 to compute expected value of X and the variance of X.

Math   Statistics-And-Probability   
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