Question: Suppose (S, T ) has joint pmf p(S,T )(s, t) = C(s+t)2 for s = 0, 1, 2, . . ., t = 0, 1,

Suppose (S, T ) has joint pmf p(S,T )(s, t) = C(s+t)2 for s = 0, 1, 2, . . ., t = 0, 1, 2, . . ., s+t 4. (If it helps, you can make a table.) (a) Determine the value of C. (b) Find P(S 2, T > 1). (c) P(S + T 2). (d) Find the marginal pmfs, pS (s) and pT (t). Be sure to indicate their support. (e) Do S and T have the same distribution

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