Exercise 8. Suppose X1, X2, , Xn are independent random variables with X; ~ N(Hi, o), 1

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Exercise 8. Suppose X1, X2,, Xn are independent random variables with
X; ~ N(Hi, o?), 1<i< n. If X = X1 + X2+ • + Xn, then X~ N(H, 0²),
...
where
...+ Hn
o² = o} + o; +·… +o
13
Transcribed Image Text:Exercise 8. Suppose X1, X2,, Xn are independent random variables with X; ~ N(Hi, o?), 1<i< n. If X = X1 + X2+ • + Xn, then X~ N(H, 0²), ... where ...+ Hn o² = o} + o; +·… +o 13
Exercise 9. Suppose X1, X2, , Xn are independent random variables with
X; ~ T(ai, B), 1 <i< n. If X = X1 + X2 + + Xn, then X ~
where a = ai+a2+ • • • + an.
(a, B),
Transcribed Image Text:Exercise 9. Suppose X1, X2, , Xn are independent random variables with X; ~ T(ai, B), 1 <i< n. If X = X1 + X2 + + Xn, then X ~ where a = ai+a2+ • • • + an. (a, B),
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