Question* Let X and Y be jointly continuous random variables with joint PDF f(x, y) = {0, 0SxS1; 0 syS3 усху, %3D elsewhere. Then p(X+Y < 1) = 1/54 None of these O 7/72 1/20

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A: Given that Moment generating function of X is Mx(t)=(0.21+0.79et)18.

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A: The PDF is denoted by the table below: x 1 2 3 P(x) 12 14 14

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A: It is an important part of statistics. It is widely used.

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A: Solution-: Let, X- be the random variable with MGF M(t) Let, Y=ax+b We prove that, M(t)=ebt*M(at)

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A: X is a poisson random variable. pmf of x is given by,  P(X=k)= λk e-λ/k!

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A: It is given that The continuous random variable X has a pdf of the formf(x) = (424/27)x3 , 0.53…

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Q: Q5 Let = {} 1 91 (3₁) = f(x) = x = 1, 2, 3, 4, 5, 6, otherwise. be the probability mass function of…

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