A small town has 5,600 residents. The residents in the town were asked whether or not they favored building a new bridge across the river. You are given the following information on the residents' responses, broken down by sex.
Men
Women
Total
In Favor1,400
280
1,680
Opposed 840
3,080
3,920
Total2,240
3,360
5,600
Let:M be the event a resident is a man W be the event a resident is a woman F be the event a resident is in favor P be the event a resident is opposed?
a.Find the joint probability table.b.Find the marginal probabilities.c.What is the probability that a randomly selected resident is a man and is in favor of building the bridge?d.What is the probability that a randomly selected resident is a man?e.What is the probability that a randomly selected resident is in favor of building the bridge?f.What is the probability that a randomly selected resident is a man or in favor of building the bridge?g.A randomly selected resident turns out to be male. Compute the probability that he is in favor of building the bridge.
What will be an ideal response?
a and b
| M | W | Total | |
| F | .25 | .05 | .3 |
| P | .15 | .55 | .7 |
| Total | .40 | .60 | 1.0 |
| c. | 0.25 |
| d. | 0.4 |
| e. | 0.3 |
| f. | 0.45 |
| g. | 0.625 |
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