Stats Inference w/ poisson and unbiased estimators. - finding difficult.

Doing a variety of stats questions today, and don't know where to start with either of the parts...

1. The number of breakdowns per week for a type of computer is a random variable Y having a Poisson distribution with mean 𝛍. A random sample Y1, Y2,...,Yn of observations on the weekly number of breakdowns is available.

(a) suggest an unbiased estimator for 𝛍

(b) the weekly cost of repairing the breakdowns is C = 3Y + Y^2. Show that E[C] = 4𝛍 + 𝛍^2

(c) find a function of Y1, Y2,..., Yn that is an unbiased estimator for E[C]

appreciate any guidance with this, cheers guys

Re: Stats Inference w/ poisson and unbiased estimators. - finding difficult.

Hey ICanDivideByZero.

Hint: For Poisson try finding the MLE estimator and show its unbiased.