(Solution) - Let X denote the number of times a certain numerical -(2025 Original AI-Free Solution)

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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 V.
(c) Find P(Y = 3 | X = 2).