Please provide solution with detailed steps:

1. One of the problems encountered by corporations in America is finding 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 most 18 of the 75 sampled employees would not like to move into management.

Choose one answer.

a. 0.0000

b. 1.0000

c. 0.8440

d. 0.1660

e. none of these

2. One of the problems encountered by corporations in America is finding 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. In addition, suppose that the above random sample actually showed that only 11 of the 75 sampled employees would like to move into management. Do you think this data indicates that the Department of Labor has overstated the percentage of workers who would like to move into management? Select the best answer.

Choose one answer.

a. Yes, the percentage of workers who would like to move into management is overstated by the Department of Labor.

b. No, the percentage of workers who would like to move into management is not overstated by the Department of Labor.

c. Not enough information to answer the question

d. none of these