MAT 151
Extra Problems for Chapters 35
1.
While staying in a hotel, you decide to rent a DVD from the font desk.
They have 6 comedies, 5
action movies, 4 romantic movies, 9 children’s movies, and one classic western movie.
Suppose that you want to apply what you are learning in MAT 151 to this movie selection. You
decide to consider the selection as an experiment. You write the genre of each movie on a
piece of paper, put them in a hat, mix them up and then compute as follows:
a. Identify the sample space of this experiment.
S = {comedy, action, romantic, children,
western}
b. Compute the probability of randomly selecting a children’s movie.
9/25
c. Compute the probability of randomly selecting a classic western movie or an action movie.
1/25 + 5/25 = 6/25
d. Are the events in part c mutually exclusive?
Yes.
e. If the desk clerk allows you to select two DVDs, what is the probability that you will select
two action movies?
5/25 * 4/24
f. Are the events in part e independent?
No.
2.
The chart below shows the number of Endangered and Threatened Species in the US:
Endangered
Threatened
Total
Mammals
68
10
78
Birds
77
13
90
Reptiles
14
22
36
Amphibians
11
10
21
Total
170
55
225
a.
What is the probability that a species of Bird is randomly selected?
90/225
b.
Two species are randomly selected without replacement.
Find P(Reptile and
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 Spring '11
 BROWN
 Normal Distribution, Probability, Standard Deviation, Probability distribution, Probability theory

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