Review Questions
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| 1. |
A
figure skater competing at a local competition needs a mean of 5.8
(out of a total 6.0) to win the first-place medal. If there are
three judges and one of them gives her a 5.5, what is the lowest
score she can get from the remaining two judges if she still wants
to finish first? |
| (A) |
4.8 |
| (B) |
5.2 |
| (C) |
5.5 |
| (D) |
5.9 |
| (E) |
6.0 |
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| 2. |
Suppose
events A, B, and C are
independent. If and what is P(C)? |
| (A) |
.05 |
| (B) |
.2 |
| (C) |
.25 |
| (D) |
.5 |
| (E) |
2 |
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| 3. |
Johnny
has a 1% chance of getting a perfect score on the SAT II Math IIC.
If he has a 5% chance of getting a perfect score on the SAT II Writing,
what is the probability that he won’t get a perfect
score on either test? |
| (A) |
.05 |
| (B) |
.15 |
| (C) |
.50 |
| (D) |
.94 |
| (E) |
.99 |
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| 4. |
Joey
wants to buy a three-scoop ice cream cone. There are 15 flavors
to choose from. How many different three-scoop combinations can
Joey get? |
| (A) |
5 |
| (B) |
15 |
| (C) |
150 |
| (D) |
450 |
| (E) |
455 |
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| 5. |
A
casting agent for a movie is looking to fill three female roles:
the beautiful blonde, the beautiful brunette, and the beautiful
redhead. If there are 40 actresses vying for one of the roles, how
many different castings can there be? (Note:
it matters which role each actress gets.) |
| (A) |
2032 |
| (B) |
15, 984 |
| (C) |
21, 320 |
| (D) |
59,280 |
| (E) |
120,000 |
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| 6. |
Suppose
set A has 9 elements and set B has
4 elements. If C is the number of elements in and D is the number of
elements in what is the minimum value
of C – D? |
| (A) |
1 |
| (B) |
4 |
| (C) |
5 |
| (D) |
9 |
| (E) |
13 |
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