mgi u5. Suppose X₁,..., X15 are iid with pdf f(x) = 3x²,0 < x < 1, zero elsewhere. Let X15 bethe sample mean. Apply the central limit theorem to find an approximate of the probabilityP(Xn <3/4). Note that the variance of the population is 3/80.on with one of two pdfs If A = 1. then

Given that fx=3x2, 0<x<1 Consider, μ=∫x=01xfxdx =∫x=01x*3x2dx =3x4401 =34 σ2=∫x=01x2fxdx-μ2…

Answered: Suppose X1,..., X15 are iid with pdf…

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Suppose X1,..., X15 are iid with pdf f(x) = 3r²,0 < x < 1, zero elsewhere. Let X15 the sample mean. Apply the central limit theorem to find an approximate of the probabi PXn <3/4). Note that the variance of the population is 3/80.