Use the following sets to answer questions 1 and 2.

1.	
1.	(4 pts) Find .
2.	(4 pts) Find 

3.	(12 pts) In a recent survey of monetary donations made by college graduates, the following information was obtained: 
95 had donated to a political campaign,
76 had donated to assist medical research, 
22 had donated to neither of the two, 
38 had donated to a political campaign and to medical research

a) Draw a Venn diagram to represent the above information.

			
b)	How many students were interviewed? 

c) What percent of the college graduates donated to neither of the two listed causes? Round to the nearest tenth.

d)	\  What percent of the college graduates donated to exactly one of the two listed causes? Round to the nearest tenth.

4.	(3 pts) True or False?  If working with a counting problem and the selected items can be repeated, I should use the Fundamental Principle of Counting.

5.	 (6 pts) When trying to pick a monitor, a printer, and a scanner for a new computer system, Pete narrowed his choices to 6 printers, 3 monitors, and 5 scanners.  How many different ways could Pete set up his system?

A group of 9 girls and 2 boys must select a committee of 4 people.  
6.	(5 pts) How many committees are possible if the committee must consist of one boy and 3 girls?

7.	(5 pts) How many ways to select the committee of 4 if the members are not determined by gender but each member of the committee is assigned a specific job?

A five-card poker hand will be dealt from a standard deck of 52 cards with no jokers.
8.	(6 pts) How many five-card hands consisting of 3 queens and 2 jacks are possible?

9.	(4 pts) If you refer to the game of roulette and page 129 in your text.  What is the outcome of a $30 bet on the odd numbers and the ball lands on 3?

10.	 (3 pts) True or False?    House odds of a particular outcome in roulette can be calculated using n(E):n(E’).

A jar contains 6 red marbles, 8 blue marbles, 11 white marbles and 9 yellow marbles.  You pick a marble without looking.
11.	(4 pts) What is the probability that it is white?

12.	 (4 pts) Find the probability that the marble is purple.

13.	(4 pts) Find the odds that it is not blue.

14.	(4 pts) A card is drawn from a deck of cards (no jokers, aces high).  Find the probability that the card drawn is both above a 10 and red. Write as a fraction.

15.	(3 pts) True or False?  If the , then .

16.	(6 pts) Of all the employees at a small company, the proportion earning certain hourly wages are as follows
Wage	$7.50	$10.00	$12.50	$18.00	$25.00	
Proportion	5%	35%	30%	20%	10%	
	Find the expected hourly wage.

17.	(9 pts) A random sampling of the speed of 12 cars monitored on a small stretch of highway yielded the following data:
40	60	50	65	60	55	
60	50	70	70	55	50	
	Find the (a) mean speed, (b) mode speed, and (c) the median speed. Round to the nearest tenth.

18.	(12 pts) The cost per gallon of regular unleaded gasoline at area gas stations is summarized below
Price/Gallon	Frequency	
1.50	3	
1.60	5	
1.65	10	
1.68	4	
1.70	1	
Find the (a) mean price and (b) standard deviation of the prices.  Round your answer to the nearest tenth of a cent.

19.	(4 pts)Find .  Use your calculator or the table in your book.

20.	(8 pts)The mean volume of soup in a can filled by a machine is 16 ounces, with a standard deviation of 0.4 ounce.  If the volumes of all cans filled by the machine are normally distributed, what percentage of the cans have less than 16.44 ounces?  Recommendation:  Draw a picture of the normal curve and shade the appropriate area.

21.	(8 pts) Use the ordered pairs  and find the equation of the line of best fit.  The use your equation to predict the value of x when y = 20.

22.	(4 pts) List the coefficient of linear correlation (round to three decimal places) and tell me whether you think the line of best fit is a “good” representation of the data.  Be sure to justify your answer (using the coefficient of linear correlation).

23.	(6 pts) A deposit of $1100 is in a bank for 20 years earning interest at a rate of 6.5%.  Find the interest earned if the interest is (a) simple interest and (b) compounded monthly.

24.	(3 pts) Compute the annual yield on 9.8% compounded daily. Round to the nearest hundredth. 

25.	(6 pts) Max buys a bedroom set for $3200.  The dealer gave him a 5-year add-on interest loan at 5.2% interest.  Find the size of the monthly payment.

26.	(10 pts) Suppose at age 40 my husband decides to invest $2000 into his IRA annually.  If his investment yields 14% return per year, how much will he have at retirement (at age 65)?  How much will his contributions total?  How much interest will he earn?  

Amount at retirement 			

Contribution Amount 			

Amount of interest 			

27.	(8 pts) If my husband (from the previous problem) decides to collect payments for 25 years, how much will his annual payout be?  How much will he collect from this annuity?

Annual Payout _________________
Total Amount Collected __________

28.	(6 pts) Joe’s Construction Company purchased a truck for $10,000.  He has agreed to pay for it over 4 years making annual payments at 10% interest.  Below is an amortization schedule, complete the amortization schedule by filling in the missing amounts.

29.	  (3 pts) Find the value of v where .

30.	(5 pts) Solve the equation.

31.	 (5 pts) Solve the equation.

32.	(4 pts)  True or False?  An earthquake with a Richter scale rating of 6.4 causes twice as much earth movement as an earthquake with Richter scale rating 3.2.

33.	(8 pts) A certain strain of bugs had a population of 120 thousand.  One month later the population had risen to 150 thousand.  Develop the model of the form  that represents the population after t months.  Predict the population in 4 months.

34.	(6 pts) An unknown substance has a hydrogen ion concentration of about 6.8 x 10-8 moles per liter.   Determine the pH.  Is the substance acid or base?

35.	 (8 pts) Using the table on page 674 how long will it take 88 grams of cobalt-55 to decay to 32 grams?  Round your answer to the nearest tenth.