X 1 2 3 4 5 6 7 P(x) 0.05 0.10 0.22 0.30 0.18 0.12 0.08
At the company, the daily salary of a loan agent is $150 plus $50 per loan closed. Let Y represent the amount of money made by a randomly selected loan agent on a randomly selected day. Which of the following statements is not true?
A. The mean of X is less than the mean of Y.
B. The standard deviation of Y is approximately $71.
C. The mean daily salary is greater than $350 per day.
D. The standard deviation of X is less than the standard deviation of Y.
E. The shape of the probability distribution of Y is unimodal and roughly symmetric.