Question

Questions Q1 A continuous random variable X has a cumulative distribution function given by F(x) = { 0 , x < 0 (x^3+2x)/12 , 0 < x < 2 1 , Elsewhere i) Find P(X>1.5) ii) Find expected value of the distribution iii) Find variance of the distribution

          Questions
Q1 A continuous random variable X has a cumulative distribution function given by
F(x) = {
0 , x < 0
(x^3+2x)/12 , 0 < x < 2
1 , Elsewhere
i) Find P(X>1.5)
ii) Find expected value of the distribution
iii) Find variance of the distribution

Questions
Q1 A continuous random variable X has a cumulative distribution function given by
F(x) =
0 , x < 0
(x^3+2x)/12 , 0 < x < 2
1 , Elsewhere
i) Find P(X>1.5)
ii) Find expected value of the distribution
iii) Find variance of the distribution

Added by Joan C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

06/07/2023

Step 1

First, we need to find the probability density function (pdf) from the given cumulative distribution function (cdf). The pdf is the derivative of the cdf with respect to x. The cdf is given by: \[F(x) = \begin{cases} 0 & x < 0 \\ T2 & 0 \leq x < 2 \\ 1 & x \geq 2 Show more…

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Questions Q1 A continuous random variable X has a cumulative distribution function given by F(x) = { 0 , x < 0; (x^3 + 2x)/12 , 0 < x < 2; 1 , Elsewhere i) Find P(X>1.5) ii) Find expected value of the distribution iii) Find variance of the distribution