If X and Y are independent, normally distributed random variables each with mean 0 and variance 1, then 2X + 2Y: Select one: a. has a normal distribution with mean 2 and variance 10 b. has a normal distribution with mean 0 and variance 5 С. has a normal distribution with mean 0 and variance 8 d. has a normal distribution with mean 0 and variance 10 e. has a normal distribution with mean 2 and variance 8 1

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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If X and Y are independent, normally distributed random
variables each
with mean 0 and variance 1, then 2X + 2Y:
Select one:
a. has a normal distribution with mean 2 and
variance 10
b. has a normal distribution with mean 0 and
variance 5
С.
has a normal distribution with mean 0 and
variance 8
d. has a normal distribution with mean 0 and
variance 10
e. has a normal distribution with mean 2 and
variance 8
1
Transcribed Image Text:If X and Y are independent, normally distributed random variables each with mean 0 and variance 1, then 2X + 2Y: Select one: a. has a normal distribution with mean 2 and variance 10 b. has a normal distribution with mean 0 and variance 5 С. has a normal distribution with mean 0 and variance 8 d. has a normal distribution with mean 0 and variance 10 e. has a normal distribution with mean 2 and variance 8 1
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