The National Safety Council (NSC) estimates that off-the-job accidents cost U.S. businesses almost $200 billion annually in lost productivity (National Safety Council, March 2006). Based on NSC estimates, companies with 50 employees are expected to average three employee off-the-job accidents per year. Answer the following questions for companies with 50 employees.
a. What is the probability of no off-the-job accidents during a one-year period (to 4 decimals)?
b. What is the probability of at least two off-the-job accidents during a one-year period (to 4 decimals)?
c. What is the expected number of off-the-job accidents during six months (to 1 decimal)?
d. What is the probability of no off-the-job accidents during the next six months (to 4 decimals)?