Answer to Question #338281 in Statistics and Probability for peace boy

Question

1.     The time to complete the production of certain product for two machines produced by two different

well−known companies (company A and B) were observed to be completely different. The time machine from company A takes to complete the production (in hours) is X~Exp(2) and the time machine from company B takes to produce the product (in hours) is Y~Unif(0, 1). If the performances of the two machines is assumed to independent, what is the distribution of Z = X + Y, the total time they take to complete the production of the product? Hint: use the convolution method.

Answer 1

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