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Engineering Maths · Q82

Probability and Statistics

Engineering and GATE · Engineering Maths · question 82

Q82

Let X1, X2 be two independent normal random variables with means μ1, μ2 and standard deviations σ1, σ2 respectively. Consider Y = X1 - X2; μ1 = μ2 = 1, σ1 = 1, σ2 = 2, Then,

A.
Y is normal distributed with mean 0 and variance 1
B.
Y is normally distributed with mean 0 and variance 5
Answer
C.
Y has mean 0 and variance 5, but is NOT normally distributed
D.
Y has mean 0 and variance 1, but is NOT normally distributed

Answer: Option B

Solution

Answer: Option B
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