Questions 15 and 16 are related to the following: The expected value and varianc
ID: 3354054 • Letter: Q
Question
Questions 15 and 16 are related to the following: The expected value and variance of the random variable x are as follows: E(x) = 245.5 var(x) = 8454.75 The random variable x is now transformed to y according to the following linear equation. y = 200 + 2x 15 The expected value of the transformed random variable y is: a 696 b 691 c 686 d 681 16 In the previous question, the variance of the transformed random variable is: a 33819 b 34019 c 34174 d 34329 Questions 15 and 16 are related to the following: The expected value and variance of the random variable x are as follows: E(x) = 245.5 var(x) = 8454.75 The random variable x is now transformed to y according to the following linear equation. y = 200 + 2x 15 The expected value of the transformed random variable y is: a 696 b 691 c 686 d 681 16 In the previous question, the variance of the transformed random variable is: a 33819 b 34019 c 34174 d 34329Explanation / Answer
15. Expected value of y
= E(y)
= E(200 + 2x)
= 200 + 2E(x)
= 200 + 2(245.5)
= 691
Option B is correct.
16. Variance of transformed random variable
= V(200 + 2x)
= 4*V(x)
= 4*8454.75
= 33819
Option A is correct.
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