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Answer the following questions dealing with binomial probabilities.
Watch that wording!!!
Grab your graphing calculator.
| 1. |
The probability that Kyla will score above a 90 on a
mathematics test is 4/5. What is the
probability that she will score above a 90 on
exactly three of
the four tests this quarter?
Choose:
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| 2. |
Which fraction represents the probability of
obtaining exactly eight heads in ten tosses of a
fair coin? |
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Choose:
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| 3. |
Experience has shown
that 1/200 of all CDs produced by a certain machine
are defective. If a quality control technician
randomly tests twenty CDs, compute each of the
following probabilities:
• P(exactly
one is defective)
• P(half are
defective)
• P(
no more than two are defective) |
Answer |
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| 4. |
A fair coin is tossed 5 times.
What is the probability that it lands tails up
exactly 3 times?
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Choose:
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| 5. |
After studying a couple's family history,
a doctor determines that the probability of any child
born to this couple having a gene for disease X is 1 out
of 4. If the couple has three children, what is
the probability that exactly two of the children have
the gene for disease X?
Answer |
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| 6. |
If a binomial experiment has seven
trials in which the probability of success is p
and the probability of failure is q, write an
expression that could be used to compute each of the
following probabilities:
• P(exactly five successes)
• P(at least five successes)
• P(at most five successes) |
Answer |
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| 7. |
On any given day, the probability that the entire
Watson family eats dinner together is 2/5. Find the
probability that, during any 7-day period, the Watson's each dinner
together at least six times.
Answer |
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| 8. |
When Joe bowls, he can get a strike (knock down all
of the pins) 60% of the time. How many times more likely is it
for Joe to bowl at least three strikes out of four times as it is
for him to bowl zero strikcs out of four tries? Round answer
to the nearest whole number.
Answer |
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| 9. |
A board game has a spinner on a circle that has five equal sectors,
numbered 1, 2, 3, 4, and 5, respectively. If a player has four
spins, find the probability that the player spins an even number no more
than two times on those four spins.
Answer
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| 10. |
Give an example of an experiment where it is appropriate to
use a normal distribution as an approximation for a binomial
probability. Explain why in this example an approximation of the
probability is a better approach than finding the exact probability.
Answer |
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