A large pond contains f fish, of which t have been tagged. Biologist A takes a...

A large pond contains f fish, of which t have been tagged. Biologist A takes a simple random sample of nA fish from the pond. Biologist B takes a simple random sample of nB fish from the fish that remain in the pond after Biologist A has drawn her sample. You can assume that nA+nB<t.

a) Fill in the blank with a math expression involving any or all of f, t, nA, and nB. Explain your answer.

The number of tagged fish in Biologist A's sample has expectation _____________.

b) Fill in the blank (carefully!) with a math expression involving any or all of f, t, nA, and nB. Explain your answer.

The number of tagged fish in Biologist B's sample has expectation __________.

c) Fill in the blank with a math expression involving any or all of f, t, nA, and nB. Explain your answer.

The number of tagged fish that don't get into the samples has expectation_________.

Expert Solution

milcah answered 1 year ago

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