6.

The RAD Construction Company has been awarded a contract with the state of Delaware to replace a bridge on Pike Creek Road. Based on experience with previous projects, RAD feels the project completion time follows a normal distribution with a mean of 92 days and a standard deviation of 9 days. RAD anticipates the net profit for completing the project is $125,000. If the company completes the project in less than 84 days, it will receive an additional $20,000 bonus from the state. If it takes longer than 106 days to complete the project, the state of Dela-ware will penalize RAD $15,000. What is RAD's expected profit for the project?

7.

According to the Bureau of Labor Statistics, the un-employment rate for workers aged 20 to 24 in April 2018 was 6.7%. Consider a random sample of 110 workers from this age group. a. What is the probability that 10 or fewer will be unemployed? b. What is the probability that 5 or fewer will be unemployed? c. What is the probability that between 5 and 15 of them will be unemployed?