A town starts a mosquito control program and the rv Z n is the number of mosquitos at the end of the nth year (n = 0, 1, 2, XXXXXXXXXXLet X n be the growth rate of e) Explain carefully how the result...

A town starts a mosquito control program and the rv Z_n
is the number of mosquitos at the end of the nth year (n = 0, 1, 2, . . .). Let X_n
be the growth rate of

e) Explain carefully how the result in (a) and the result in (d) are possible. What you should learn from this problem is that the expected value of the log of a product of IID rv’s might be more significant than the expected value of the product itself.