The Safety Council estimates that off-the-job accidents cost businesses almost $500 billion annually in lost productivity. Based on their estimates, companies with

hundred employees are expected to have six off-the-job accidents per year. a) Clearly state what the random variable in this problem is? b) What is an appropriate

distribution to be used for this problem and why? c) What is the probability of no off-the-job accidents during the next six months? d) What is the probability of at

least four off-the-job accidents during a one-year period? e) What is the probability that the number of off-the-job accidents is more than two but less than six

during a four-month period? f) What is the probability of at the most three off-the-job accidents during the next eight months?