A Small Town Has 5,600 Residents Let: M Be the Event a Resident Is a Man

Essay

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.
$\begin{array}{l|rr|r} & \text { Men } & \text { Women } & \text { Total } \\\hline \text { In Favor } & 1,400 & 280 & 1,680 \\\text { Opposed } & 840 & 3,080 & 3,920\\\hline \text { Total } & 2,240 & 3,360 & 5,600\end{array}$ 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.