1. For the given pair of events, classify the two events as independent or dependent.
Randomly selecting a city in Texas
Randomly selecting a county in Texas
Choose the correct answer below.
o A. The two events are dependent because the occurrence of one does not affect the probability of the
occurrence of the other.
o B. The two events are dependent because the occurrence of one affects the probability of the occurrence
of the other.
o C. The two events are independent because the occurrence of one does not affect the probability of the
occurrence of the other.
o D. The two events are independent because the occurrence of one affects the probability of the
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occurrence of the other.
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10: 3.2.9
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2.
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24% of college students say they use credit cards because of the rewards program. You randomly select 10
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college students and ask each to name the reason he or she uses credit cards. Find the probability that the
number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b)
more than two,
o
and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
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vi y re
(a) P(2)= (Round to the nearest thousandth as needed.)
(b) P(x > 2) = (Round to the nearest thousandth as needed.)
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(c) P(2:sx:S5)= (Round to the nearest thousandth as needed.)
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3. Determine whether the random variable is discrete or continuous.
a. The time required to download a file from the Intemet.
b. The amount of rain in City B during April.
c. The number of people in a restaurant that has a capacity of 100.
d. The number of bald eagles in the country.
e. The time it takes to fly from City A to City B.
a. Is the time required to download a file from the Intemet discrete or continuous?
o A. The random variable is continuous.
o B. The random variable is discrete.
b. Is the amount of rain in City B during April discrete or continuous?
o A. The random variable is continuous.
o B. The random variable is discrete.
c. Is the number of people in a restaurant that has a capacity of 100 discrete or continuous?
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o A.
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The random variable is discrete.
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o B. The random variable is continuous.
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d. Is the number of bald eagles in the country discrete or continuous?
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o A. The random variable is discrete.
o B. The random variable is continuous.
o
e. Is the time it takes to fly from City A to City B discrete or continuous?
aC s
vi y re
o A. The random variable is discrete.
o B. The random variable is continuous.
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10: 4.1.13
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4. Find the mean, variance, and standard deviation of the binomial distribution with the given values of nand p.
is
n=60, p=0.4
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The mean, j!, is . (Round to the nearest tenth as needed.)
The variance, ri, is . (Round to the nearest tenth as needed.)
sh
The standard deviation, o, is . (Round to the nearest tenth as needed.)
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