Advertising researchers have developed a theory that states that commercials
that appear in violent television shows are less likely to be remembered and will
thus be less effective. After examining samples of viewers who watch violent and
nonviolent programs and asking them a series of five questions about the
commercials, the researchers produced the following probability distributions of
the number of correct answers.
Viewers of violent shows
0
0.36
X
P(x)
Viewers of nonviolent shows
X
P(x)
1
0.22
0
0.15
1
0.18
2
0.20
2
0,23
3
0.09
3
0,26
4
0.08
4
0.10
5
0.05
5
0.08
a) (10 points) Calculate the mean and standard deviation of the number of
correct answers among viewers of violent television programs.
b) (10 points) Calculate the mean and standard deviation of the number of
correct answers among viewers of nonviolent television programs.
Fig: 1