Fundamentals of Probability and Statistics for Engineers

(iii) The outcome at the (k 1)th generation is dependent only on the class order

at the kth generation and not on any generation prior to it; that is,

Determine

(a) The pmf of X 3.

(b) The jpmf of X 3 and X 4.

74 Fundamentals of Probability and Statistics for Engineers

‡

P…Xk‡ 1 ˆijXkˆj\Xk 1 ˆm\...†ˆP…Xk‡ 1 ˆijXkˆj†