Question 2 Assume Y is a discrete random variable with a mean and a variance of 2, and let X = Y + 1. a) Do you expect the mean of X to be larger than, smaller than, or equal to u = E(Y )? Why? b) Express E (X) = E(Y + 1) in terms of u = E(Y ). Does this result agree with your answer to part (a)? c) Recalling that the variance is a measure of spread or dispersion, do you expect the variance of X to be larger than, smaller than, or equal to o² = V(Y )? Why?
Question 2 Assume Y is a discrete random variable with a mean and a variance of 2, and let X = Y + 1. a) Do you expect the mean of X to be larger than, smaller than, or equal to u = E(Y )? Why? b) Express E (X) = E(Y + 1) in terms of u = E(Y ). Does this result agree with your answer to part (a)? c) Recalling that the variance is a measure of spread or dispersion, do you expect the variance of X to be larger than, smaller than, or equal to o² = V(Y )? Why?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Transcribed Image Text:Question 2
Assume Y is a discrete random variable with a mean and a variance of 2, and let X = Y + 1.
a) Do you expect the mean of X to be larger than, smaller than, or equal to u = E(Y )? Why?
b) Express E (X) = E(Y + 1) in terms of µ = E(Y ). Does this result agree with your answer to
part (a)?
c) Recalling that the variance is a measure of spread or dispersion, do you expect the variance of X to
be larger than, smaller than, or equal to o² = V(Y )? Why?
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