A random variable X has a distribution function 0, { I<-1, A+ Barcsin z, -1<1<1, I>1. F(x) = 1, Find its 1) coefficients A, B, 2) distribution density f(r), make plots of both F(x) and f(r), 3) mathematical expectation, variance.

A First Course in Probability (10th Edition)
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A random variable X has a distribution function
I<-1,
F(r) = { A+ B arcsin r, -1 <r< 1,
0,
1,
r> 1.
Find its
1) coefficients A, B,
2) distribution density f(r), make plots of both F(r) and f(r),
3) mathematical expectation, variance.
Transcribed Image Text:A random variable X has a distribution function I<-1, F(r) = { A+ B arcsin r, -1 <r< 1, 0, 1, r> 1. Find its 1) coefficients A, B, 2) distribution density f(r), make plots of both F(r) and f(r), 3) mathematical expectation, variance.
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