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Question 1

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