The following survey was taken after the 4th of July about t
The following survey was taken after the 4^th of July about the events each have attended. What was the probability that the person was male? What was the probability that the person attended a parade? What is the probability that the person was a male and attended a parade? What is the probability that the person attended a parade given they where male? What is the probability that the person was male given they attended a parade?
Solution
Consider:
a)
P(male) = 26/50 = 0.52 [answer]
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b)
P(parade) = 13/50 = 0.26 [answer]
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c)
P(male and parade) = 6/50 = 0.12 [answer]
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d)
P(parade|male) = 6/26 = 0.230769231 [answer]
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e)
P(male|parade) = 6/13 = 0.461538462 [answer]
| Fireworks | Parade | Picnic | Stayed Home | Totals | |
| Male | 5 | 6 | 2 | 13 | 26 |
| Female | 8 | 7 | 7 | 2 | 24 |
| Totals | 13 | 13 | 9 | 15 | 50 |
