Answer the following questions with TRUE or FALSE, and explain your answer: (b) If X and Y have correlation 0.50, then the correlation between 4X and 5Y will not be 0.50.

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Answer the following questions with TRUE or FALSE, and explain your answer:

(b) If X and Y have correlation 0.50, then the correlation between 4X and 5Y will not be 0.50.

(c) For n dependent random variables X1 , . . . , Xn , drawn from the same population with mean µx ,
E[X bar] = µx .

(d) If X has a variance of 4 and mean of 2, and a sample mean based on 4 independent Xi  was
calculated, the probability that X will be larger than 8 is larger than the probability that X bar is
larger than 8.

***Note: (Please do not copy answer from Chegg!)

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