1) The probability that a randomly selected 50-year-old male will survive the year is 0.99 according to the Social Security Administration. What is the probability that ve randomly selected 50-year-old males will survive the year? To answer the question input only the actual number. Do not include units. Do not give your answer in sentence form --just include the numerical answer rounded to exactly 4 decimal places. 2) One ofthe problems encountered by corporations in America is nding an adequate number of employees who want to move into management. Recent surveys of workers in America taken by the Department of Labor in Washington D. C. revealed that only 20% of employees would like to move into management and be the boss. Suppose that a random sample of 75 U.S. workers was taken and each person was asked whether or not they would like to move into management. Find the probability that at least 18 of the 75 sampled employees would like to move into management. 0 0.7690 0 0.8440 0 0.1560 0 0.231 0 0 None of the above 3) In 1995, 70% of all children in the US. were living with both parents. If 25 children were selected at random in the U.5., what is the probability that at least 15 of them will be living with both of their parents? Round your answer to 4 decimal places. To answer the question input o_nly_ the actual number. Do not include units. Do not give your answer in sentence form -- just include the numerical answer rounded to exactly 4 decimal places. : 4) It has been conjectured by the U.S. Census Bureau that "approximately 60% of foreignborn people who live in the U.S. are not naturalized citizens". Suppose that in a national random sample of 70 foreign-born people who live in the U.S., on average, how many people would you expect to get that are not naturalized citizens. Select the best answer below. 028 O42 048 050 0 None of the above 5) Suppose that you work for a newly restructured automotive company with nearly 100,000 employees. You are in charge of purchasing engines from an overseas supplier. Company policy is that you purchase 500 engines each month to be placed into cars on the assembly line. Your overseas supplier of engines guarantees that no more than 0.9% of the new engines shipped to you will fail a simple electrical test. To check out the monthly shipment of the 500 engines you randomly select and test 50 of these engines, and you nd that 1 is defective. Do you think that the supplier has met the guarantee? OThe zvalue is more than 3 standard deviations from the mean. 50, we conclude that the overseas supplier has not met the g uarantee. O The zvalue is less than 3 standard deviations from the mean. 50, we cannot conclude that the overseas supplier has not met the guarantee. 0 Neither of these is the correct