Question 1

According to the Kaiser Family Foundation, U.S. workers who had employer-provided health insurance paid an average premium of $4129 for family coverage during 2011 (USA TODAY, October 10, 2011). Suppose that the premiums for such family coverage paid this year by all such workers have a bell-shaped distribution with a mean of $4129 and a standard deviation of $600. Using the empirical rule, find the approximate percentage of such workers who pay premiums for such family coverage between

a. $2329 and $5929b. $3529 and $4729c. 32929 and $5329

Question 2

The following table gives a two-way classification of all basketball players at a state university who began their college careers between 2004 and 2008, based on gender and whether or not they graduated.

Graduated Did Not Graduate

Male 126 55

Female 133 32

If one of these players is selected at random, find the following probabilities.

a.P(female or did not graduate)

b.P(graduated or male)

Question 3

The television game show The Price Is Right has a game called the Shell Game. The game has four shells, and one of these four shells has a ball under it. The contestant chooses one shell. If this shell contains the ball, the contestant wins. If a contestant chooses one shell randomly, what is the probability of each of the following outcomes?

a. contestant winsb. contestant loses

Do these probabilities add up to 1.0? If yes, why?

Question 4

There are a total of 160 practicing physicians in a city. Of them, 75 are female and 25 are pediatricians. Of the 75 females, 20 are pediatricians. Are the events "female" and "pediatrician" independent? Are they mutually exclusive? Explain why or why not.

Question 5

In a political science class of 35 students, 21 favor abolishing the electoral college and thus electing the President of the United States by popular vote. If two students are selected at random from this class, what is the probability that both of them favor abolition of the electoral college? Draw a tree diagram for this problem.