Let X, Y N (2, 3) two normal random variables with mean 2 and variance 3. Which of the following statements is necessarily true E (2X) = E (X+Y) Var (2X) = Var (X+Y) The medians of X and Y are equal. O The random variable Z = X+ Y is a normally distributed random variable with variance 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Let X, Y
N (2, 3) two normal random variables with mean 2 and variance 3. Which of the
following statements is necessarily true
E (2X) = E (X+ Y)
Var (2X) = Var (X+Y)
The medians of X and Y are equal.
O The random variable Z = X + Y is a normally distributed random variable with variance 6
Transcribed Image Text:Let X, Y N (2, 3) two normal random variables with mean 2 and variance 3. Which of the following statements is necessarily true E (2X) = E (X+ Y) Var (2X) = Var (X+Y) The medians of X and Y are equal. O The random variable Z = X + Y is a normally distributed random variable with variance 6
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