Homework SourseSuper Bowl advertisement Male M Female F TOTAL Makes me more
Super Bowl advertisement
Male (M)
Female (F)
TOTAL
Makes me more likely to try (L)
650
50
700
No impact on my decision (N)
150
150
300
TOTAL
800
200
1000
1. Given that a person is female, what is the probability that the Super Bowl advertisement made her more likely to try the product?
2. Given that the advertising made a person more likely to try the product, what is the probability that the person is a man?
3. A reporter sees this information and writes
| Super Bowl advertisement | Male (M) | Female (F) | TOTAL |
| Makes me more likely to try (L) | 650 | 50 | 700 |
| No impact on my decision (N) | 150 | 150 | 300 |
| TOTAL | 800 | 200 | 1000 |
Solution
(1)
P(likely to try|female) = P(likely to try and female)/P(female)
= 50/ 200 =0.25
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(2)
P(man|likely to try) =P(man and likely to try)/P(likely to try)
= 650/ 700 =0.9285714
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(3)No, because the number of women is less than the number of man in this information.
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(4) No, because P(woman and decision to try)=50/1000=0.05 is not equal to P(woman)*P(decision to try)=(200/1000)*(700/1000) =0.14
