Question 4 Not yet answered The distribution of income (in tens of thousands) of females in a small population can be modeled by a gamma distribution with mean 4 and standard deviation 8 dollars' A simulation is done, where each trial consists of drawing a random sample of 500 women from this population and computing the average salary of the women in this population 1000 trials are done, which of the following statements is true? Marked out of 1.00 V Flag question Select one: 0 a. The distribution of the sample obtained in one trial should be close to normal 0 b' If we plotted the distribution of the sample obtained in each of the 1000 trials, we would have 1000 distributions that look like the normal. 0 c' The mean of the 500 random variables in each sample is close to 2000. 0 d' The distribution of the 1000 averages is exactly gamma 0 e, The distribution of the 1000 averages is close to normalt Question 5 Not yet answered Marked out of 1.00 '7 Flag question Chapter 9, mini quiz 7 The median age of residents of the United States is 31 years, If a survey of 100 randomly selected United States residents is taken, find the approximate probability that at least 60 of them will be under 31 years of age. Select one: Q a. 0.02 O b. 0.5 O C. 0.471 Od.5 Question 7 Let Not yet answered X1, X2, . . . . Xn Marked out of 1.00 be a set of i.i.d random variables, where Flag question f ( xi ) = =, 0