A sample of 100 individuals was selected for a focus group to determine information concerning consumer...
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, 76 answered yes. 45 males were interviewed, and 27 males answered yes. Given that a randomly selected customer is female, what is the probability that she answered yes?
Homework Answers
From given information we construct following table,
| Yes | No | Total | |
|---|---|---|---|
| Male | 27 | 18 | 45 |
| Female | 49 | 6 | 55 |
| Total | 76 | 24 | 100 |
We want to find, P(Yes given that Female)
P(Yes given that Female) = 49/55 = 0.8909
Therefore, given that a randomly select customer is female, then the probability that she answered yes is 0.8909
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