Axline Computers manufactures personal computers at two plants, one in Texas and the other in Hawaii. The Texas plant has 60 employees; the Hawaii plant has 20. A random sample of 10 employees is to be asked to fill out a benefits questionnaire.

Round your answers to four decimal places.

a. What is the probability that none of the employees in the sample work at the plant in Hawaii?

b. What is the probability that 1 of the employees in the sample works at the plant in Hawaii?

c. What is the probability that 2 or more of the employees in the sample work at the plant in Hawaii?

d. What is the probability that 9 of the employees in the sample work at the plant in Texas?

A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 5% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

  1. What is the probability an employee will experience a lost-time accident in both years (to 3 decimals)?
  1. What is the probability an employee will experience a lost-time accident over the two-year period (to 3 decimals)?