Q1/ Let X be a discrete random variable with the following a- Find the PDF b- Find P (X<3) c- Find P (3< X<8|X>4) Fx(x) = 0 0.3 0.5 0.8 0.9 x < 3 3 10

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Q: 1. Continuous random variables 0 ≤ x ≤ 2 and 0 ≤ Y ≤ 2 have joint probability density function 3x² +…

A: The Joint PDF of X and Y  is :f(x,y)=3x2+4y320≤x≤2,0≤y≤2

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Q: 1. Continuous random variables 0 ≤X ≤ 2 and 0 ≤ Y ≤ 2 have joint probability density function…

A: Let X and Y have joint pdf :f(x,y)=3x2+4y320≤x≤2,0≤y≤2

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Q: Given four observed values: x₁ and x4 = 5.5, find an unbiased point estimate for μ. = 4.6, x2 = 6.2,…

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Q: list all the possible outcomes from rolling two fair six sided dice

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A: f(x)=ke-0.5x ; x&gt;0

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Q: Let X have a gamma distribution with pdf 1 f(x) = Γ(α)βα -xa-¹e-x/B, 0 0, ß>0

A: We have given the probability density function of the Gamma distribution…