88 DETAILS MY NOTES ASK YOUR TEACHER Assume that the score, X, on the final of MAT 301 is a normally distributed random variable with a mean of 63 and a standard deviation of 10. Suppose that we simulate 180 such measurements, say X1, X2, ..., X180. Let M be the sample mean of the 180 measurements. Let S be the sum of the 180 measurements. a) What is the probability that X 51? f) What is the probability that S- 180.63 0.51? j) What is the standard deviation of 180*(M-63)? k) What is the variance of 180* (M-63)? 1) If the probability of X > k is equal to .2 then what is k