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)].
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51b4e2ec-bfa6-4f58-990d-bd20b72cbce7%2Fd3159bac-ac4f-42ad-9e47-f0be3723abc1%2Fgloy614_processed.jpeg&w=3840&q=75)
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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