[8] The random variable Y has a mean of 30 and a variance of 16 and let T = Y+5. a) Compute E(T) and Var(T). b) Can you compute the following probability P(10.5 ≤ T ≤ 12)? Explain why.
[8] The random variable Y has a mean of 30 and a variance of 16 and let T = Y+5. a) Compute E(T) and Var(T). b) Can you compute the following probability P(10.5 ≤ T ≤ 12)? Explain why.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Please don’t use R or excel formula to calculate E(X) and variance. Use normal formula to get to the numbers
![[8] The random variable Y has a mean of 30 and a variance of 16 and let T =
=Y+5.
a) Compute E(T) and Var(T).
b) Can you compute the following probability P(10.5 ≤ T ≤ 12)? Explain why.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3574180-5be7-46af-9f18-c1fbb9ec682c%2Feb860703-b51d-40e4-92a9-d890d216875a%2Frjlzt5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[8] The random variable Y has a mean of 30 and a variance of 16 and let T =
=Y+5.
a) Compute E(T) and Var(T).
b) Can you compute the following probability P(10.5 ≤ T ≤ 12)? Explain why.
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