1. Assume you have a business with ten employees, and you want to choose a time slot to give a lunch break to them. You have four different time slots as candidates, and you want to choose the one in which the chances of having customers are lower.

a) How would you use the knowledge from this unit to make this decision?

b) Which probability distribution do you use?

c) What data do you need to collect?

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?