Question: ONLY B AND C. Please use Rstudio Consider the random variables X1, X2, mean 20 and variance 9. Xn all independent and identically distributed normal

ONLY B AND C. Please use RstudioONLY B AND C. Please use Rstudio Consider the random variables X1,

Consider the random variables X1, X2, mean 20 and variance 9. Xn all independent and identically distributed normal with a. (2 points) What is the distribution of the sample average Specify what the mean and variance of X are. b. (5 points) What is the probability that X is greater than 22 if n 9? What if n 16? What if n 25? (you may use the function pnorm in R to calculate these probabilities) (3 points) Based on your results from part b, comment on what happens to the distribution of X as n grows. C

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