Let X be a random variable from a Chi-Square Distribution with 13 degrees of freedom. Jada is interested in the random variable Y = aX+b. She knows that E(Y) = 26 and V (Y) = 416. Jada wants to find out all possible values of a and b that satisfy this criteria. Write your answer as an ordered pair, (a, b). If there are multiple solutions, separate the ordered pairs by a comma. Hint: Use properties of expected value and variance to find a and b.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Let X be a random variable from a Chi-Square Distribution with 13 degrees of freedom. Jada is interested in
the random variable Y = aX + b. She knows that E(Y) = 26 and V(Y) = 416.
Jada wants to find out all possible values of a and b that satisfy this criteria.
Write your answer as an ordered pair, (a, b). If there are multiple solutions, separate the ordered pairs by a
comma.
Hint: Use properties of expected value and variance to find a and b.
Transcribed Image Text:Let X be a random variable from a Chi-Square Distribution with 13 degrees of freedom. Jada is interested in the random variable Y = aX + b. She knows that E(Y) = 26 and V(Y) = 416. Jada wants to find out all possible values of a and b that satisfy this criteria. Write your answer as an ordered pair, (a, b). If there are multiple solutions, separate the ordered pairs by a comma. Hint: Use properties of expected value and variance to find a and b.
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