l. [5 3: W Chapter 2: 2.6} The following table gives the joint probability distribution between employment status and college graduation among those either employed or looking for 1work {unemployed} in the workingage LLS. population for September 201?. Joint Distribution of Employment Status and College Graduation in the 1.1.5. Population Aged 25 and Ctlder, Setember EDI ? Unemployed Employed Total (it!) I\": | ] Noncollege grads 0.026 0.5?5 [1.332 [X=IIII Col|e_e _rads X=|] assa 0.39s 0.035 we _li_ a} {5 points] Compute Er'lfl. b} (5 points} The unemployment rate is the fraction of the labor iorce that is unemployed. Show that the unemployment rate is given by lEfl-. c} {5 points] Calculate Erl'IX I) and EfX). d} {5 points] Calculate the unemployment rate for {i} college graduates and {ii} noncollege graduates. e} [5 points] A. randomly selected member of this population reports being unemployed. What is the probability that this worker is a college graduate? A. noncollege graduate? f] [5 points} Are educational achievement and employment status independent? Explain. E. {5 points} [3 3:. W Chapter 2: 2.8} The random variable Y has a mean of I and a variance of 4; Let 2:; {v 1}. Show that a: = [J and a3 = 1