Math 200 Test 2 Review With Answer Key - 2013 Page 5

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____ 14. The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is
selling Chinese fortune cookies at a price of $1 per cookie. Each cookie contains a piece of paper with a
different number written on it. A random drawing will determine which number is the winner of a dinner for
two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club,
we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 32 cookies.
What is the probability she will not win the dinner for two? Write your answer as a fraction in simplest form,
if one exists.
16
A)
359
343
B)
359
1
C)
32
16
D)
343
E) none of these choices
____ 15. The Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 300,000 households
in a given year. In the Kohola Drive neighborhood there are 323 homes. Let r be the number of homes that
will be burglarized in a year. Compute the probability for r  2 . Round your answer to the nearest ten
thousandth.
A) 0.1558
B) 0.1669
C) 0.0369
D) 0.0341
E) 0.4082
____ 16. Richard has been given a 12-question multiple-choice quiz in his history class. Each question has four answers,
of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the
answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is
unable to answer a question correctly. Assuming that Richard guesses on all 12 questions, find the probability
that he will answer no more than 3 questions correctly. Round your answer to the nearest thousandth.
A) 0.250
B) 0.649
C) 0.500
D) 0.258
E) 0.063
____ 17. Richard has been given a 5-question multiple-choice quiz in his history class. Each question has three answers,
of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the
answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is
unable to answer a question correctly. Assuming that Richard guesses on all 5 questions, find the probability
that he will answer all questions correctly. Round your answer to the nearest thousandth.
A) 0.500
B) 0.067
C) 0.600
D) 0.333
E) 0.004
5

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