Question

Part 1 . A sample of 100 individuals was selected for a focus group to determine information concerning consumer behavior. Among the questions asked was “Have you noticed our advertisements on TV?” Overall, 67 answered yes. 45 males were interviewed, and 27 males answered yes.

What is the probability that a respondent chosen at random did not notice the advertisement on TV? a.24 b.76 c.22 d.33

What is the probability that a respondent chosen at random is a female and has noticed the advertisement on TV? a.49 b.40 c.66 d.18

Part 2. A restaurant is considering extending their opening hours, either by extending their hours on weeknights or weekends. 85% of the customers surveyed said that they preferred extended hours on weekends. 55% of the customers were male. 80% of the males preferred extended weekend hours.

Given that a randomly selected customer prefers extended weeknight hours, what is the probability the individual is a male? a. 0.733 b 0.165 c. 0.825 d. 0.11

Given that a randomly selected customer is a female, what is the probability the individual prefers extended weekend hours? a. 0.911 b 0.922 c 0.857 d. 0.410

Answer 1

1)

probability that a respondent chosen at random did not notice the advertisement on TV =33/100 =0.33

option d

probability that a respondent chosen at random is a female and has noticed the advertisement on TV =40/100 =0.4

option B

2)

Given that a randomly selected customer prefers extended weeknight hours, what is the probability the individual is a male

=0.11/0.15=0.733

option A

Given that a randomly selected customer is a female, what is the probability the individual prefers extended weekend hours

=0.41/0.45 =0.911

option A