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Problem 4 (5 points) a. (2 points) Suppose X ~ Gam(2,0.5). Compute the probability P(4 <...

Problem 4 (5 points) a. (2 points) Suppose X ~ Gam(2,0.5). Compute the probability P(4 < X < 6). Explain. b. (3 points) Suppo

Problem 4 (5 points) a. (2 points) Suppose X ~ Gam(2,0.5). Compute the probability P(4 < X < 6). Explain. b. (3 points) Suppose X ~ Gam(a, 1), where a > 0 and 1 > 0. Determine E[X]. Use this result to compute the expected value of a Gam(2,0.5) random vari- able. Explain (you may want to use the probability density function (PDF) of a Gam(a +1,ß) random variable to compute E[X]).
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Problem 4 (5 points) a. (2 points) Suppose X ~ Gam(2,0.5). Compute the probability P(4 <...
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