Q1:Let X be a random variable with pdf f (x) = cx +d for 0) = %3D a- Find the values of constants c and d. b- Find the cdf of X. c- find P(IX| <). d- Find P f- Find P(X2 <1). 4/11/20

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Q: JK(x² + y²) f(x, y) = 0 20≤x≤ 30, 20 ≤ y ≤ 30 otherwise (a) What is the value of K? (Enter your…

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A: The moment generating function is defined as MX(t) = E(etx)

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Q: - Find the cumulative distribution. Find P(x41. 5

A: The cumulative distribution fu⁸nction of X is defined as F(x) = P(X ≤ x)

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Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 27 psi.…

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Q: Suppose that X ~ Pareto(7). Define Y = In(X+1). If E[X] = }, then what is the variance %3D of Y?

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Q: A continuous random variable X has a PDF f(x)= 3x²,0 a} and (ii) P{X >b} = 0.05.

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Q: 1. Let X have the pdf f (x) = B-l exp{-x/ß}, 0< x<o. Find the moment generating function, the mean,…

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