1. Are today's college graduates willing to work long, hard hours on the job? Suppose the true percentage ofcollege graduates who expect to work long, hard hours is 90%. In a sample of 10 college graduates who saythey would be willing to work long, hard hours on the job, what is the probability that

a) at least 9 graduates in the sample will work long, hard hours on the job?

2. Are today's college graduates willing to work long, hard hours on the job? Suppose the true percentage ofcollege graduates who expect to work long, hard hours is 90%. In a sample of 10 college graduates who saythey would be willing to work long, hard hours on the job, what is the probability that

b) exactly 5 graduates will work long, hard hours on the job?

3. Are today's college graduates willing to work long, hard hours on the job? Suppose the true percentage ofcollege graduates who expect to work long, hard hours is 90%. In a sample of 10 college graduates who saythey would be willing to work long, hard hours on the job, what is the probability that

c) at least 3, but not more than 8 graduates will work long, hard hours on the job?

4. The average life of a certain steel-belted radial tire is advertised as 60,000 miles. Assume that the life of the tires is normally distributed with a standard deviation of 2,500 miles. (The life of a tire is defined as the number of miles the tire is driven before blowing out.)

(a) Find the probability that a randomly selected steel-belted radial tire will have a life of 61,800 miles orless.

5. The average life of a certain steel-belted radial tire is advertised as 60,000 miles. Assume that the life of the tires is normally distributed with a standard deviation 2,500 miles. (The life of a tire is defined as the number of miles the tire is driven before blowing out.)

(a) Find the probability that a randomly selected steel-belted radial tire will have a life of 61,800 miles orless.