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Question 7 1 pts Let X be a discrete random variable that can take on values $x_1 = -1$, $x_2 = 1$, $x_3 = 2$ with probabilities $p_1 = P(X = x_1) = 0.5$, $p_2 = P(X = x_2) = 0.25$, $p_3 = P(X = x_3) = 0.25$ Determine the variance $\sigma^2$ of RV X. Give your answer to 3 digits of precision.

          Question 7
1 pts
Let X be a discrete random variable that can take on values $x_1 = -1$, $x_2 = 1$, $x_3 = 2$ with
probabilities
$p_1 = P(X = x_1) = 0.5$, $p_2 = P(X = x_2) = 0.25$, $p_3 = P(X = x_3) = 0.25$
Determine the variance $\sigma^2$ of RV X.
Give your answer to 3 digits of precision.

Question 7
1 pts
Let X be a discrete random variable that can take on values x1 = -1, x2 = 1, x3 = 2 with
probabilities
p1 = P(X = x1) = 0.5, p2 = P(X = x2) = 0.25, p3 = P(X = x3) = 0.25
Determine the variance σ^2 of RV X.
Give your answer to 3 digits of precision.

Added by Kelly M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ahmad Reda

09/29/2022

Step 1

The mean (expected value) of a discrete random variable X is given by: E(X) = Σ x_i * P(x_i) E(X) = (-1)(0.5) + (1)(0.25) + (2)(0.25) E(X) = -0.5 + 0.25 + 0.5 E(X) = 0.25 Show more…

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Question 7 Let x be a discrete random variable that can take on values x_(1)=-1,x_(2)=1,x_(3)=2 with probabilities p_(1)=P(x=x_(1))=0.5,p_(2)=P(x=x_(2))=0.25,p_(3)=P(x=x_(3))=0.25 Determine the variance sigma ^(2) of RVx. Give your answer to 3 digits of precision. Question 7 1pts Let X be a discrete random variable that can take on values 1 = -1, 2 = 1, = 2 with probabilities P1=PX=x=0.5,P2=PX=x=0.25,P3=PX=x=0.25 Determine the variance o2 of RV X. Give your answer to 3 digits of precision.