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 fishthat remain in the pond after Biologist A has drawn her sample. Youcan assume that nA+nBa) Fill in the blank with a math expressioninvolving any or all of f, t, nA, and nB. Explain youranswer.
The number of tagged fish in Biologist A's sample hasexpectation _____________.
b) Fill in the blank (carefully!) with a mathexpression involving any or all of f, t, nA, and nB.Explain your answer.
The number of tagged fish in Biologist B's sample hasexpectation __________.
c) Fill in the blank with a math expressioninvolving any or all of f, t, nA, and nB. Explain youranswer.
The number of tagged fish that don't get into the samples hasexpectation_________.
