Question 13 Not yet answered Suppose we have 5 independent and identically distributed random variables $X_1, X_2, X_3, X_4, X_5 $ each with the moment generating function Marked out of 1.00 Mx (1 ) = (181+ 2). Flag question Let the random variable $Y$ be defined as Y = XX; 1=1 . The Expected value and variance of Y are Select one: O a. MY = 40; 02 = 10 O b. MY = 50; 02 = 10 O c. MY = 50; 02 = 3.125 O d. MY = 8;03 =5Question 14 New\" In the USA Today of February 20'", it said that "Tiger Woods has not missed a cut since the Buick Invitational in February 1998, a string of 63 consecutive events. While Woods' streak is only fifth best all the time, it is answmd the longest active streak." (USA Today, 212012001, page 1C). Say whether each of the following statements is true or false or can not be determined Marked out of 1.00 '7 Flag queson The law of large numbers says that situations like that described for Tiger can't happen. Choose... A Tiger will not miss a cut in the next event, since his luck is hot. \\I Choose... False True - Question 15 Not yet an swered Waiting times at a service counter in a pharmacy are exponentially distributed, with expected value 10 minutes' If 100 customers come to the service counter in a day, Marked am of The expected average waiting time of all customers is Choose... A 1.00 '7 Flag The standard deviation of the average waiting time of 100 customers is Choose... A question The probability that the waiting time of 100 customers is less than 7 minutes