4 the correlation coefficient ranges from which two

4. The correlation coefficient ranges from which two values?
a. 0 and 1
b. − 1 and +
c. minus infinity and plus infinity
d. 1 and 100
1
5. The correlation coefficient _____.
6. Excel's _____ function can be used to compute the sample correlation coefficient.
Section II (50 points). Numerical answer (detailed process is required)
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 gender.
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 or both?
g.
A randomly selected resident turns out to be male. Compute the probability that he is in
favor of building the bridge.