Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as (a) Evaluate the marginal distribution of X. (b) Evaluate the marginal distribution of Y. (c) Find P (Y = 3 | X = 2).

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A: f(x1,x2)=2(1-x1)   0≤x1,x2≤1   P(0<x1<0.5,0.4<x2<0.7) =∫x1=00.5∫x2=0.40.72(1-x1) dx1…

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A: *Answer:

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A: