4. Suppose that the probability mass function of the discrete random variable X is as follows: for x = 1, 2, 3, 4, 5, 6 f(x) = otherwise where c is a constant. a. What value of c will make f(x) a valid probability mass function ? b. Compute the cumulative distribution function, F(x). с. Compute P(1 < X < 6).

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A: 2.    p.m.f. of X  is     P(X=0) = 16 P(X=1) = 26 P(X=2) = 14 P(X=3) = 14

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Q: ments. Tv n variable

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Q: i. ii. iii. the value of k; the cumulative distribution function of X; P(X <3). P(X<3).

A: Given that  Probability mass function of X is  P(X = x) = kx2  , for x = 1 , 2 , 3 , 4

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Q: .Given that (x, y) = (x+2y)/k if x = -2,1 and y = 3,4, is a joint probability distribution function…

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A: Solution: 9. From the given information,

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