At a certain company, loan agents are paid based on the number of loans they close in a day. Based on company records, the number of loans X that a randomly selected loan agent closes on a randomly selected day has the probability distribution above.
At the company, the daily salary of a loan agent is $150 plus $50 per loan closed. Let YY 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