Download 34_Binomial Activity #2

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34_Binomial Activity #2
AP Statistics
1) An Olympic archer is able to hit the bull’s-eye 80% of the time. Assume that each shot is independent of
the others. If she shoots 6 arrows, what is the probability of each result below?
a) She gets exactly 4 bull’s-eyes.
b) She gets at most 4 bull’s-eyes.
c) She gets at least 4 bull’s-eyes.
d) She misses the bull’s-eye at least once.
2) Assume that 13% of people are left-handed. If we randomly select 12 people from this population,
a) What is the probability that they are not all right-handed?
b) What is the probability that there are no more than 10 righties?
c) What is the probability that there are exactly 6 of each?
d) What is the probability that the majority is right-handed?
3) A wildlife biologist examines ducks for a genetic trait he suspects may be linked to sensitivity to industrial
toxins in the environment. Previous research had established that this trait is found in one of every 8
ducks. He collects and examines a dozen ducks. If the frequency of the trait has not changed, what
is the probability he finds the trait in
a) None of the ducks?
b) At least 2 ducks?
c) 3 or 4 ducks
d) No more than 4 ducks
4) A newly hired telemarketer is told he will probably make a sale on about 12% of his phone
calls. The first week he called 200 people, but only made 10 sales. Should he suspect he was
misled about the true success rate? Explain.
5) An airline, believing that 5% of passengers fail to show up for flights, overbooks (sell more tickets than
there are seats). Suppose a plane will hold 265 passengers, and the airline sells 275 seats. What’s the
probability that the airline will not have enough seats so someone gets bumped?