please answer the question step by step thank you so much!

Suppose that Pr(Y = y) = 2 -, y = 0,1,2,... y! [3] (a) Write this probability mass function in the form of the exponential family. Specify the values of the various parameters, functions and constants necessary for expressing the probability mass function in the form of the exponential family. [4] (b) Find the expected value of Y, denoted by E(Y), using two different methods. [2] (c) Suppose that you have estimated a Poisson family GLM. Explain how you can determine if an overdispersed Poisson model may be required. You may refer to output that you would get from the GLM that you have estimated. Suppose that Pr(Y = y) = 2 -, y = 0,1,2,... y! [3] (a) Write this probability mass function in the form of the exponential family. Specify the values of the various parameters, functions and constants necessary for expressing the probability mass function in the form of the exponential family. [4] (b) Find the expected value of Y, denoted by E(Y), using two different methods. [2] (c) Suppose that you have estimated a Poisson family GLM. Explain how you can determine if an overdispersed Poisson model may be required. You may refer to output that you would get from the GLM that you have estimated