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1. |
Find the mean of the set {14, 16, 23, 9, 13, 31, 12, 28}. |
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A. |
18.25 |
B. |
15 |
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C. |
19 |
D. |
16.5 |
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Hint |
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2. |
The letters from the word ''alert'' are used to form a password into a school computer system. How many 5-letter passwords can be formed if the letters can be used more than once? |
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A. |
625 |
B. |
3125 |
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C. |
120 |
D. |
50 |
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Hint |
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3. |
How many ways can seven books be arranged on a shelf if one of the books is an algebra text and it must be in the center? |
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A. |
120 |
B. |
625 |
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C. |
720 |
D. |
50 |
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Hint |
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4. |
Multiply C(12, 5)× C(15, 10). |
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A. |
180 |
B. |
3003 |
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C. |
792 |
D. |
2,378,376 |
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Hint |
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5. |
The calculus class is preparing for the Advanced Placement Exam. If there are 12 girls in a class of 20, how many study groups of 3 girls and 2 boys can be formed? |
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A. |
5670 |
B. |
110 |
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C. |
6160 |
D. |
8395 |
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Hint |
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6. |
Cynthia has 3 black rabbits and 4 white rabbits. She randomly picks 2 for her neighbor's grandson. Find the probability of picking 1 black rabbit and 1 white rabbit. |
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A. |
 |
B. |
92% |
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C. |
 |
D. |
55% |
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Hint |
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7. |
As a captain of his football team, Julian called the coin toss for 6 football games. What is the probability that he won the coin toss 4 times and lost 2 times? |
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A. |
or about 0.4688 |
B. |
or about 0.0586 |
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C. |
or about 0.9375 |
D. |
or about 0.2344 |
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Hint |
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8. |
Martha goes to the dentist and finds out that she has five cavities. If she has 16 upper teeth and 16 lower teeth, what is the probability that all five cavities are on the upper teeth? |
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A. |
0.011 |
B. |
0.11 |
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C. |
0.22 |
D. |
0.022 |
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Hint |
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9. |
According to NFL statistics, the Cincinnati Bengals will be blown out in 5 out of 16 games, regardless of opponent. What are the odds of Cincinnati playing a close game? |
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A. |
11:5 |
B. |
5:11 |
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C. |
11:16 |
D. |
16:5 |
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Hint |
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10. |
Eddie flips a coin, rolls a die, and draws one card from a standard deck of 52. What is the probability that he turned up heads, rolled a prime number, and picked a king or queen? |
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A. |
0.026 |
B. |
0.051 |
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C. |
0.019 |
D. |
0.038 |
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Hint |
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11. |
Max gets to choose 6 balloons from a group of 10 red balloons and 15 blue balloons. What is the probability that at least 4 balloons are red? |
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A. |
0.023 |
B. |
0.147 |
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C. |
0.125 |
D. |
0.057 |
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Hint |
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12. |
In a survey of 100 people, 65 liked the color blue, and 45 liked the color green. If 20 people disliked both green and blue, how many people liked both? |
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A. |
15 |
B. |
30 |
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C. |
10 |
D. |
65 |
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Hint |
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13. |
Which measure of central tendency should be used to represent the set of data {45, 78, 79, 80, 82, 82, 83, 99}? |
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A. |
mode |
B. |
mean |
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C. |
standard deviation |
D. |
median |
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Hint |
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14. |
Which set of data is positively skewed? |
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A. |
{10, 11, 12, 12, 13, 13, 13, 14, 14, 15, 16} |
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B. |
{9, 10, 11, 12, 13, 14, 15, 16, 17} |
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C. |
{9, 11, 13, 14, 14, 15, 15, 15, 17, 17} |
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D. |
{9, 9, 10, 10, 10, 11, 11, 13, 15, 17} |
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Hint |
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15. |
Which of the following is an example of a continuous probability distribution? |
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A. |
the number of stars that are bright enough to see |
B. |
the number of people who like chocolate ice cream |
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C. |
the rent for an apartment in a particular city |
D. |
the amount of time it takes to run a mile |
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Hint |
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16. |
Suppose a mathematician has a probability of answering any math question correctly. What is the probability that he answers exactly 3 out of 5 math questions correctly? |
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A. |
0.328 |
B. |
0.0081 |
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C. |
0.0729 |
D. |
0.54 |
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Hint |
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17. |
In a recent survey, 56% of the people agreed with choice A. With probability 0.95, what is the minimum percentage of people in the population who agree with choice A, if the margin of error is 8 %? |
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A. |
51% |
B. |
43% |
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C. |
48% |
D. |
52% |
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Hint |
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18. |
In order to determine the preferred shampoo of women, 100 men were asked what kind of shampoo their wives used. Assuming that each knew for sure what their wives used, is this a random sample? If not, why is it not? |
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A. |
no, because the study is asking men |
B. |
no, because women change shampoo too frequently |
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C. |
yes |
D. |
no, because the study is only getting results about married women |
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Hint |
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