Question: Y 0 2 W 4 P(Y) 3b 0.25 0.35 0.15 Find: . (a) the value of b . (b) E(Y), the expected value of Y

Y 0 2 W 4 P(Y) 3b 0.25 0.35 0.15 Find: . (a) the value of b . (b) E(Y), the expected value of Y . (c) Var(Y ), the variance of Y . (d) the cumulative distribution function (CDF) of Y . (e) P(Y 1) . (g) the standard deviation of YQuestion 2: A discrete random variable Z has the following probability distribution: z 1 2 3 4 5 P(Z) 0.15 c 2 0.25 0.10 Find: * (a) the value of o (b) E(Z), the expected value of Z * (o Var(Z), the variance of Z o (d) the cumulative distribution function (CDF) of Z (@ P(Z 2) * (g) the standard deviation of Z

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