1. David Mashley teaches two undergraduate statistics courses at Kansas College. The class for Statistics 201 consists of 7 sophomores and 3 juniors. The more advanced course, Statistics 301, has 2 sophomores and 8 juniors enrolled. As an example of a business sampling technique, Professor Mashley randomly selects, from the stack of Statistics 201 registration cards, the class card of one student and then places that card back in the stack. If that student was a sophomore, Mashley draws another card from the Statistics 201 stack; if not, he randomly draws a card from the Statistics 301 group. Are these two draws independent events? What is the probability of

a junior's name on the first draw?

a junior's name on the second draw given that a sophomore's name was drawn first?

a junior's name on the second draw given that a junior's name was drawn first?

a sophomore's name on both draws?

a junior's name on both draws?

one sophomore's name and one junior's name on the two draws, regardless of order drawn? 2. Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty-five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 employees were involved in some type of exercise.

What is the probability that an employee will have a cold next year?

Given that an employee is involved in an exercise program, what is the probability that he or she will get a cold next year?

What is the probability that an employee who is not involved in an exercise program will get a cold next year?

Are exercising and getting a cold independent events? Explain your answer.