Exam #2 Review: Chapters 2 & 11

Solve the problem.

There are 777,859 physicians in the United States.

177,030 are women.

33,947 physicians have cardiology as their specialty.

6,817 women physicians specialize in cardiology.

How many male physicians in the United States are there who are men specializing in cardiology?

The table shows the distribution, by age, of a random sample of 4000 moviegoers in a certain country aged 12 through 74. Use this distribution to solve the problem.

If one moviegoer is randomly selected from this population, find the probability, expressed as a simplified fraction, of the given situation.

the moviegoer's age is less than 65

Solve the problem that involves computing expected values in a game of chance.

A numbers game run by many state governments allows a player to select a three-digit number from 000 to 999. There are 1000 such numbers. A bet of $17 is placed on a number. If the number is selected, the player wins $1700. If any other number is selected, the player wins nothing. Find the expected value for the game.

Solve the problem.

A signal can be formed by running different colored flags up a pole, one above the other. Find the number of different signals consisting of 8 flags that can be made if 3 of the flags are white, 3 are red, and 2 are blue.

Solve the problem.

The table below shows the results of a consumer survey of annual incomes in 100 households.

What is the probability that a household has an annual income between $15,000 and $44,999 inclusive?

Solve the problem.

Of the 18 movies directed by a famous movie director, 12 were dramas, 4 were thrillers, and 2 were action movies. One movie is randomly selected from these 18 movies. Find the odds in favor of selecting a thriller or an action movie.

Solve the problem.

To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55 numbers (one through 55). The order in which the selections is made does not matter. How many different selections are possible?

Solve the problem.

From a group of 18 women and 17 men, a researcher wants to randomly select 6 women and 6 men for a study. In how many ways can the study group be selected?

Solve the problem.

The winner of a raffle will receive a new car. If 10,000 raffle tickets were sold and you purchased 25 tickets, what are the odds against your winning the car?