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1. |
Find the mode for the stem-and-leaf plot shown below. |
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A. |
52 |
B. |
25 |
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C. |
59 |
D. |
53 |
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Hint |
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2. |
The enrollments at the University of Texas at Austin in some recent years were 47,905, 48,008, 48,857, 48,906, and 49,009. Find the standard deviation of the data. |
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A. |
461.28 |
B. |
477.62 |
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C. |
452.93 |
D. |
434.00 |
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Hint |
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3. |
The letters a, b, c, and d will be used to form passwords for the school's computer system. How many 4-letter passwords may be formed if the letters can be used more than once in any password? |
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A. |
300 |
B. |
16 |
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C. |
20 |
D. |
256 |
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Hint |
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4. |
What is n if n[P(15, 5)] = P(14, 6)?. |
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A. |
15 |
B. |
120 |
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C. |
6 |
D. |
9 |
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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. |
6160 |
B. |
110 |
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C. |
5670 |
D. |
8395 |
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Hint |
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6. |
Jessie has 3 beaded bracelets, and 4 gold bracelets. She randomly selects 2 to wear to school. What is the probability that she will choose two beaded bracelets? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Which of the following is an example of a dependent event? |
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A. |
tossing a coin |
B. |
rolling a die |
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C. |
picking a numbered ball in a lottery |
D. |
entering a digit of a telephone number |
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Hint |
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8. |
Suppose three coins are tossed, and each time, they turn up heads. What is the probability that the next toss will be heads? |
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A. |
0.125 |
B. |
0.5 |
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C. |
0.9375 |
D. |
0.0625 |
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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. |
11:16 |
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C. |
5:11 |
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. |
0.019 |
B. |
0.051 |
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C. |
0.026 |
D. |
0.038 |
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Hint |
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11. |
One card is drawn from a standard deck of cards. What is the probability that it is either a black card or a face card? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
The number of professional football players is 1200. Suppose 500 are on the offense, 500 are on the defense, and 60 play both offense and defense. What is the probability that a football player selected at random plays on the offense or the defense? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Describe the set of data {33, 35, 38, 44, 45, 45, 46, 46, 46, 47}. |
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A. |
negatively skewed |
B. |
positively skewed |
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C. |
normal distribution |
D. |
cannot be determined |
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Hint |
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14. |
Suppose that the mean is 50. How many standard deviations away is the value 65? |
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A. |
within 1 standard deviation |
B. |
about 2 standard deviations |
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C. |
about 1 standard deviation |
D. |
cannot be determined from given information |
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Hint |
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15. |
Suppose a family has 9 children. What is the probability that they have at least 5 boys? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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. |
0.0729 |
B. |
0.54 |
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C. |
0.0081 |
D. |
0.328 |
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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. |
43% |
B. |
52% |
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C. |
51% |
D. |
48% |
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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. |
yes |
B. |
no, because women change shampoo too frequently |
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C. |
no, because the study is only getting results about married women |
D. |
no, because the study is asking men |
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Hint |
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