Over the past ten years, HomeSafe Construction has built an average of 256 homes
ID: 3154738 • Letter: O
Question
Over the past ten years, HomeSafe Construction has built an average of 256 homes per year.
The number of homes built in each of the first nine years of that period were as follows:
212 291 314 220 196 281 244 233 285
How many homes did HomeSafe Construction build in the tenth year?
2.The number of Reality Shows, Comedies, and Dramas shown on three major TV
Networks is listed in the following table:
TV Network A TV Network B TV Network C
Reality Shows 16 5 9
Comedies 6 10 10
Dramas 2 22 7
A) If a TV show is selected at random, what is the probability that it is from TV Network B or a
Comedy?
B) If a TV show is selected at random, what is the probability that it is from TV Network B, given
that it is a Drama?
C) If a viewer watches three different shows selected at random from any network, what is the
probability that they are all Reality Shows?
Explanation / Answer
1. The number of homes HomeSafe Construction build in the tenth year is best given by the sample average of the past 9 years, and hence it is 256.
2. The data is summarized in a more convenient form in the below table:
(a) The number of shows favoring the event that it is either from Network B or a Comedy show is 5+10+22+6+10 = 53, and hence its probability is 53/87 = 0.6092.
(b) The probability of a TV show selected at random it is from TV Network B, given that it is a Drama 22/31 = 0.7097.
(c) The probability of a reality show being watched is 30/87, and hence if a viewer watches three different shows selected at random from any network, the probability that they are all Reality Shows is (30/87)^3 = 0.041.
TV A TV B TV C Show Total Reality 16 5 9 30 Comedy 6 10 10 26 Drama 2 22 7 31 TV Total 24 37 26 87Related Questions
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