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please find the question in the picture thanks 8. (6 points) Suppose the probability density function of a continuous random variable X is given by

please find the question in the picture

thanks

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8. (6 points) Suppose the probability density function of a continuous random variable X is given by the equation. f (x) = k (x - 2) ( 6 - x), 25x=6 0 , elsewhere a. Find the value of k that makes f(x) a probability density function. b. Let Y = 20 - 12X. Find E(Y)

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