I have no clue how to start this problem, mch less solve it. Can you please help

Question

I have no clue how to start this problem, mch less solve it. Can you please help and explain the steps :)

4. Say we have a population of Martians which grows in the following way: In any given year, the size of the population will either grow by a factor of a (so for example, go from 100 to 100a) with probability p or it will decrease by a factor of 1/a with probability 1-p. Assume that the growth each year is independent of that of all other years and that a is a real number greater than 1. Suppose we start with a population of 100. n years. Find a formula for the expected value of the population size after

Explanation / Answer

E(x)=Summation xc100 p^100 q^(n-100)

Here we can use binomial distribution as per terms given in the question

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