1. An accountant of an international company is working on a profit-and-loss report for the current fiscal year.The accountant reports that the company incurred a loss in 4 months out of the 12 months in the fiscal year.Let X be the number of months the company is suffering a loss in the next fiscal year. Discuss the adequacy of the model that X follows a binomial distribution with n = 12 and p = 4/12.
2. On average, you receive 3 junk e-mails every 6 hours. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution.

a.What is the expected number of junk e-mails in one day?

b.What is the probability of receiving exactly two junk e-mails in a six-hours interval?

c. What is the probability of receiving less than two junk e-mails arrive in a six-hours interval?

d.What is the probability of receiving two or more junk email in a six-hours interval?

3) . A recent survey found that 83% of Canadian were satisfied with their current jobs. Answer the following questions based on a random sample of 10 Canadian workers:

a. What is the probability that exactly six employees were satisfied with their current jobs?

b. What is the probability that exactly nine employees were satisfied with their current jobs?

c. What is the probability that either four or five employees were satisfied with their current jobs?

d. What are the mean and standard deviation for this distribution?