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1. |
The machine that fills gallon milk jugs at a dairy dispenses the milk in amounts that are normally distributed with a standard deviation of 0.002 gallon. What percent of the jugs will get between 0.998 and 1.002 gallons of milk? |
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A. |
100% |
B. |
95% |
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C. |
99% |
D. |
68% |
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Hint |
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2. |
The scores on a national achievement test are normally distributed with a mean of 50 and a standard deviation of 10. Out of a group of 200 students, how many would you expect to score more than 70? |
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A. |
32 |
B. |
1 |
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C. |
5 |
D. |
10 |
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Hint |
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3. |
Kim needs to choose a 4-digit personal identification number (PIN) to use with her phone card. She may use a digit only once. How many different PINs can she choose from? |
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A. |
900 |
B. |
8020 |
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C. |
5610 |
D. |
5040 |
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Hint |
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4. |
Evaluate C(5, 3). |
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A. |
20 |
B. |
30 |
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C. |
10 |
D. |
40 |
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Hint |
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5. |
Find C(10, 3). |
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A. |
80 |
B. |
120 |
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C. |
144 |
D. |
34 |
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Hint |
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6. |
A bag contains 7 blue marbles, 8 green marbles, 15 red marbles, and 10 yellow marbles. Find the probability of randomly drawing without replacement, a blue marble and then a red. |
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A. |
or about 0.0656 |
B. |
or about 0.2273 |
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C. |
or about 0.0673 |
D. |
or about 0.0438 |
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Hint |
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7. |
A box of crayons contains 8 blue, 9 red, and 13 yellow. Find the probability of first choosing a yellow, then a blue, and then another yellow crayon if there is no replacement. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
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 0.9375 |
B. |
or about 0.0586 |
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C. |
or about 0.4688 |
D. |
or about 0.2344 |
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Hint |
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9. |
The Boor Foundation conducted a poll asking people to name the most serious problem facing the nation. Of the 600 people polled, 48% of the randomly selected people answered education. Find the margin of error for this sampling. |
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A. |
24.96 |
B. |
0.5200 |
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C. |
0.0407922 |
D. |
0.2039608 |
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Hint |
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10. |
42% of a random sampling of 800 people felt that skim milk was as nutritional as whole milk. Find the margin of error for this sampling. |
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A. |
0.58 |
B. |
0.0348999 |
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C. |
0.2436 |
D. |
0.0003045 |
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Hint |
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11. |
In baseball, a cycle occurs when someone hits a single, double, triple, and home run in the same game. Assuming that a player bats only four times in a game, how many different ways can someone hit for the cycle? |
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A. |
256 |
B. |
12 |
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C. |
24 |
D. |
6 |
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Hint |
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12. |
Suppose two dice are rolled. What is the probability that a sum of 2, 4, or 6 will not be rolled? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Suppose the probability of success is x, and the probability of failure is y. What is x + y? |
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A. |
x + y |
B. |
0 |
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C. |
cannot be determined |
D. |
1 |
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Hint |
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14. |
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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15. |
There are 25 things that can break on a car. Seven are maintenance problems, 14 are small repairs, and 4 are major problems. If a problem occurs at random, what is the probability that it is not a major problem? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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16. |
Which measure of variation does not depend on the mean? |
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A. |
standard deviation |
B. |
mode |
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C. |
variance |
D. |
range |
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Hint |
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17. |
In the set of data {113, 146, 146, 154, 157, 170, 181}, which measure of central tendency has the highest value? What is the value? |
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A. |
mean, 152 |
B. |
mean, 178 |
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C. |
mode, 146 |
D. |
median, 154 |
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Hint |
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18. |
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. |
0.0729 |
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C. |
0.54 |
D. |
0.0081 |
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Hint |
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