Question: 43. Which of the following functions are valid probability functions? Explain. (a) p(x) = x/20; x = 1, 2, 3, 4, 5, 6 and zero

43. Which of the following functions are valid probability functions? Explain.

(a) p(x) = x/20; x = 1, 2, 3, 4, 5, 6 and zero elsewhere.

(b) p(x) = x2/140; x = 1, 2, 3, 4, 5, 6, 7 and zero elsewhere.

(c) p(x) = (x − 3)/5; x = 2, 3, 4, 5, 6 and zero elsewhere.

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