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Suppose that y is a discrete random variable with mean u and variance o2 and let X=Y+1

a. Do you expect the mean of x to be larger than, smaller than or equal to E(Y)? why?

b. Use therom 3.3 and 3.5 to express E(X) - E(Y+1) in terms of E(Y). Does this result agree with answer to part a.

c. Recalling that the variance is the measure of spread or dispersion, do you expect the variance of X to be larger than smaller than or equal to o^2 = V(Y)? why?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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