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1) Indicate whether classical, empirical, or subjective probability should be us

ID: 1102221 • Letter: 1

Question

1) Indicate whether classical, empirical, or subjectiveprobability should be used to determine each of the following:

a. the probability that the baseball player Ryan Howard will hit a home run during his next at bat.    ______ probability

b. the probability of drawing a jack from a deck of cards. _______ probability

c. the probability that the price of gasoline will exceed $4.00 per gallon next summer.    _____ probability

2) If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A|B) =

0.209

0.000

0.550

None of the above answers is correct

3) Which of the following is not a valid probability?

-0.6

51%

0

1

4) The collection of all possible sample points in an experiment is

the sample point

an experiment

the sample space

the outcome

5) An experiment consists of four outcomes with P(E1) = 0.2, P(E2) = 0.3, and P(E3) = 0.4. The probability of outcome E4 is

0.500

0.024

0.100

0.900

6) The following table indicates the number of customers at Walmart who purchased a digital camera with and without extended warranties. the contingency table also identifies the age group of the customers.

What is the probability that a randomly selected customer (answer in decimal form with 4 decimal places, eg. 10% would be 0.1000).

a) Chose to purchase the warranty?     _____

b) was less than 40 years old? _____

c) was 40 years or older and chose not to purchase a warranty? _____

d) was less than 40 or chose not to purchase a warranty?     ______

7) If P(A) = 0.50, P(B) = 0.60, and P(A AND B) = 0.30; then events A and B are  

mutually exclusive events

not independent events

independent events

Not enough information is given to answer this question

8) The following table lists the number of medals won by particular countries during the 2008 Summer Olympics in Beijing, China.

Answers should be provided in decimal form with 4 decimal places (e.g. 10% would be 0.1000).

a) What is the probability that a randomly selected medal is gold? _____

b) What is the probability that a randomly selected medal was won by Russia? _____

c) What is the probability that a randomly selected medal was silver and won by the United States? _____

d) What is the probability that a randomly selected medal was bronze or won by China? _____

e) Given that the medal is gold, what is the probability that is was won by the United States?     _____

f) Given that the medal was won by Russia, what is the probability that it was bronze? _____

9) Two events are mutually exclusive if

the probability of their intersection is 1

they have no sample points in common

the probability of their intersection is 0.5

the probability of their intersection is 1 and they have no sample points in common

10) The probability of an intersection of two events is computed using the

multiplication law

addition law

subtraction law

division law

a.

0.209

b.

0.000

c.

0.550

d.

None of the above answers is correct

Explanation / Answer

1) a) 0.2942

b)0.0769

c)$3.35 per gallon

2) d) None of the above answers is correct

3) b)

4) c) the sample space

5) c) 0.100

6) a) 0.1833

b) 0.6500

c) 0.1000

d) 0.0833

7) c) independent events

8) a) 0.3152

b) 0.0751

c) 0.1252

d) 0.0792

e) 0.1192

f) 0.0793

9) b) they have no sample points in common

10 a)multiplication law