Question 6 Chapter 9, end of chapter problems, Not yet answered You may attach a pdf file to this question, but the pdf le must contain only the answer to this question. If you include anything else, your quiz will not count, Marked out of ___________ 11.00 '7 Flag The monthly salary of women that are in the laborforce in a large town, Y, follows a gamma distribution with expected value 500 and variance 125. question That is, The city is planning to obtain a random sample of 100 women to obtain some information The city is planning to askthe 100 women about their salary. (i) What is the probability that the average salary of the 100 women in the sample is larger than 1,500? (ii) If, in this town, 20% of the women have a monthly salary larger than 3,000, what is the probability that in the random sample of 100 women more than 20% of them make a salary larger than 3,000? show work (iii) Would W = 2y y, be an unbiased estimator of the average salary of the women in the large town? (Note: "unbiased" means that the expected value of Wequals the mean of the population of women.) (iv) What is the joint distribution of the 100 random variables with the same density function as in this problem? IAVBI 0 2'2 l