# The probability of off-the-job accidents in a sample size of 50

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?

b. What is the probability of at least two off-the-job accidents during a one-year period?

c. What is the expected number of off-the-job accidents during six months?

d. What is the probability of no off-the-job accidents during the next six months?

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Poisson distribution

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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.

First of all, if X is a Poisson random variable that follows a Poisson distribution with mean value , ...

#### Solution Summary

The probability of the off-the-job accidents in a sample size of 50 is examined.