Maya and Saba want to learn about the effect, if any, of averaging random variables. To do so, they need you to help them calculate the following probabilities. Let X1 and X2 be two independent normal random variables which both have mean 3.4 and standard deviation 8. (a) Compute P(IX1 – 8.81 > 4.2). A E (Give your answer to at least 4 significant figures.) (b) Calculate P (* - 8.8| > 4.2) O E (Give your answer to at least 4 significant figures.)

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Maya and Saba want to learn about the effect, if any, of averaging random variables. To do so, they need you to help them calculate the following
probabilities.
Let X1 and X2 be two independent normal random variables which both have mean 3.4 and standard deviation 8.
(a)
Compute P(IX1 – 8.81 > 4.2).
(Give your answer to at least 4 significant figures.)
(b)
(* - 8.8| > 42)
|X1+X2
Calculate P
O E (Give your answer to at least 4 significant figures.)
Transcribed Image Text:Maya and Saba want to learn about the effect, if any, of averaging random variables. To do so, they need you to help them calculate the following probabilities. Let X1 and X2 be two independent normal random variables which both have mean 3.4 and standard deviation 8. (a) Compute P(IX1 – 8.81 > 4.2). (Give your answer to at least 4 significant figures.) (b) (* - 8.8| > 42) |X1+X2 Calculate P O E (Give your answer to at least 4 significant figures.)
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