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a. Suppose X and Y are independent, X has mean 5 and variance 7, Y has mean -3 and variance 8. Compute E[(3X + 4Y)(X + Y + 6)].

a. Suppose X and Y are independent, X has mean 5 and variance 7, Y has mean -3 and variance 8. Compute E[(3X + 4Y)(X + Y + 6)].

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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a. Suppose X and Y are independent, X has mean 5 and variance 7, Y has mean -3 and variance 8. Compute E[(3X + 4Y)(X + Y + 6)]. b. Toss a coin 10 times. Given that at least 7 heads are tossed, what is the probability that the first toss is head.
Transcribed Image Text:a. Suppose X and Y are independent, X has mean 5 and variance 7, Y has mean -3 and variance 8. Compute E[(3X + 4Y)(X + Y + 6)]. b. Toss a coin 10 times. Given that at least 7 heads are tossed, what is the probability that the first toss is head.
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