Answered: Suppose Xis a random variable with E(X)…

Suppose Xis a random variable with E(X) = 2, and E(X2) = 5. Compute the following quantities: a) Var(X) b) E(X−1)2 c) Var(−X−3)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

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Question

Suppose Xis a random variable with E(X) = 2, and E(X2) = 5. Compute the following quantities:

a) Var(X)

b) E(X−1)²

^{c) Var(−X−3)}

^{d) E(5X+ 4)}

Expert Solution

Step 1

Note: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts for you. To get the remaining sub-part to be solved then please repost the complete question again and mention the sub-parts to be solved."

Given information:

X is a random variable with the expected values as:

$E (X) = 2 E (X^{2}) = 5$

It is required to obtain the values of the quantities of:

a) Var (X)

b) $E {(X - 1)}^{2}$

c) Var(-X-3)

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