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 Favor | 1,400 | 280 | 1,680 |
| Opposed | 840 | 3,080 | 3,920 |
| Total | 2,240 | 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. |
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