4) S) a) b) c) d) 6) 7) a) b) c) Assume your expected Ilftlme mcome IS Sl million and the standard deviation IS $250,000. a) What is the chance that you earn more than Sl _ 1 million during your lifetime? b) what is the chance that you will earn less than $2 million during your lifetime? c) What is the chance that you will earn befiveen Sl_2 and S2_2 million during your lifetime? d) What is the chance you will make less than $500,000 during your lifetime? Same set up as in 3)!!! a) With 90% chance, your mcome will be lower than how many SSS? b) With 80% chance, your income will be higher than how many SS$? c) With 70% chance, your income will be within which even range around $1.5 million? The chance that a Berea college student has a job offer before graduation is 70%. If I sample 200 graduates. What is the chance more than 130 of them have a job offer? ullat is the chance less than 133 of them have a job offer? ullat is the chance at least 1 SO of them have a iob offer? What is the chance at most 144 of them have a job offer? You know that P(X>4) = 84_ 13% and that P(X>7) = 30.85% Also XN_ Find g and 02! (Harder urite out what you have in the appropriate equations and see what is missing if you do it right you will have turo equations and two unknowns which you can solve.) You know that income is Kentucky is distributed 10,0002) What is the chance a random Kentuckian earns more than S42,000? You get food stamps if your income is less than is the chance a random Kentuckian earns more than 50,000 if you know that he does not get food stamps? (Harder) What is the chance exactly 6 out of 10 randomly draun Kentuckians get food stamps?