Consider a population of moose that grows according to p+1 = Pt + I, where I, = 20 with a 41% chance and I = 0 with a 59% chance, and t is measured in years. Suppose that initially there are 100 moose. Define X to be the number of moose after three years. (a) Determine the probability mass function, p(x), for X. What is the value of p(140)? (b) Determine the cumulative distribution function, F(x), for X. What is the value of F(152)?

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