Answer to Question #138201 in Statistics and Probability for Pratap keshari das

Question

Consider the stochastic dynamical system mt+1 = rtmt, where m0 = 1 and rt = 2 with
a 50% chance and rt = 1/2 with a 50% chance (t = 0, 1, 2,...).
(a) What is the chance that m2 = 1?
(b) What is the sample space for m3 (i.e., the set of all possible values for m3)?
(c) What is the sample space for m4?

Answer 1

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