A recent study of how American spend their leisure time surveyed workers employed more than 5 yuears. They determined the probability an employee has 2 weeks of vacation time to be 0.45, 1 week of vacation time to be 0.10, and 3 or more weeks to be 0.20. Suppose 20 workers are selected at random. Answer the following questions without Appendix Table 3.

1. What is the probability that 8 have 2 weeks of vacation time?
2. What is the probability that only one worker has 1 week of vacation time?
3. What is the probability that at most 2 of the workers have 3 or more weeks of vacation time?
4. What is the probability that at least 2 workers have 1 week of vacation time?

Solution