Consider the density function: ) = {k√x₁ 0, f(x) = (a) Evaluate k (b) Find F (x) and use it to evaluate P (0.3 < X < 0.6) 0

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Q: ind the constant k such that f(x) is a PDF over the given interval. f(x) = k(3x2 − x3) on [0, 2]

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Q: Suppose f and g are continuous on [a, b] and f f(x) dx = S% 8(x) dr. Prove that there is cE [a, b]…

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Q: continuous function h(x),

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Q: let X be continuous r.v. with pdf f(x) = kx2 where 0 ≤ x ≤ 1 . Find k then use it to find E(x). What…

A: We have to find value of constant and then mean.