The variable X has a normal distribution with mean u = 100 and standard deviation a = 8. The variable Y has a normal distribution with mean u = 85 and standard deviation = 6. Variables X and Y are independent. (a) Find the mean, u, and standard deviation, o, of the sum X + Y. O = (b) Find the mean, u, and standard deviation, a, of the difference X - Y.

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The variable X has a normal distribution with mean u = 100 and standard deviation o = 8. The variable Y has a normal distribution with mean u = 85 and standard deviation o
= 6. Variables X and Y are independent.
(a) Find the mean, u, and standard deviation, o, of the sum X + Y.
=
=
(b) Find the mean, u, and standard deviation, a, of the difference X - Y.
O =
Transcribed Image Text:The variable X has a normal distribution with mean u = 100 and standard deviation o = 8. The variable Y has a normal distribution with mean u = 85 and standard deviation o = 6. Variables X and Y are independent. (a) Find the mean, u, and standard deviation, o, of the sum X + Y. = = (b) Find the mean, u, and standard deviation, a, of the difference X - Y. O =
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