A random variable X has a distribution function 0. 2/16, I- 7/4. 2<1S11/4, 1. F(z) = 1> 11/4. Find its 1) distribution density f(r), make plots of both F(r) and f(r), 2) mathematical expectation, variance, and standard deviation, 3) P{X € (1,1.5).

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A random variable X has a distribution function
0.
2/16, 0<r<2,
I- 7/4. 2<1S 11/4,
1> 11/4.
F(r) =
1,
Find its
1) distribution density f(r), make plots of both F(r) and f(x),
2) mathematical expectation, variance, and standard deviation,
3) P{X € (1,1.5|}.
Transcribed Image Text:A random variable X has a distribution function 0. 2/16, 0<r<2, I- 7/4. 2<1S 11/4, 1> 11/4. F(r) = 1, Find its 1) distribution density f(r), make plots of both F(r) and f(x), 2) mathematical expectation, variance, and standard deviation, 3) P{X € (1,1.5|}.
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