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6. The daily demand X of certain product is known to follow the following probability function: - (1----p)p' form=0,1,2,, POE) - { 0 otherwise where

6. The daily demand X of certain product is known to follow the following probability function: - (1----p)p"' form=0,1,2,, POE) - { 0 otherwise where O < p < 1. (a) Find the conditional probability that the demand is m + n given that we know the demand is no less than m, ie., P(X = m + nIX 2 m) where m,n E N. (b) Find a relationship between the conditional probability P(X = m + an 2 m) and the probability P(X = Comment on the relationship you obtained

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