Assume that the height, X, of a college woman is a normally distributed random variable with a mean of 65 inches and a standard deviation of 3 inches. Suppose that we sample the heights of 180 randomly chosen college women. Let M be the sample mean of the 180 height measurements. Lets be the sum of the 180 height measurements. All measurements are in Inches. a) What is the probability that X 59? c) What is the probability that all of the 180 measurements are greater than 59? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that 5-180*65 >10? Q) What is the standard deviation of 5-180*65 h) What is the expected value of M? i) What is the standard deviation of M? J) What is the probability that M >65.41? :] k) What Is the standard deviation of 180*M? ) If the probability of X > k is equal to .3, then what is k? m) Add any comments below