You have 1000 dollars to put in an account with interest rate R, compounded annually. That is, if Xₙ, is the value of the account at year n, then X, = 1000(1 + R)ⁿ, for n = 0,1, 2, -...
The value of Ris a random variable that is determined when you put the money in the bank, but it does not not change after that. In particular, assume that R~ Uniform(0.04, 0.05).

Find all possible sample functions for the random process {Xₙ,n = 0, 1,2, ...}.