A survey asked subjects whether they are a member of an environmental group and whether they would be very willing to pay higher prices to protect the environment. The results are shown in the table below. For a randomly selected adult, find the probabilities specified in parts (a) through (d). a. Estimate the probability of being a member of an environmental group. P(GRNGROUP)= (Round to the nearest thousandth as needed.) Estimate the probability of being willing to pay higher prices to protect the environment. P(GRNPRICE)= (Round to the nearest thousandth as needed.) b. Estimate the probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment. P(GRNGROUP and GRNPRICE)=] (Round to the nearest thousandth as needed.) c. Given the probabilities in (a), calculate the probability in (b) if the variables were independent. P(GRNGROUP and GRNPRICE)=
A survey asked subjects whether they are a member of an environmental group and whether they would be very willing to pay higher prices to protect the environment. The results are shown in the table below. For a randomly selected adult, find the probabilities specified in parts (a) through (d). a. Estimate the probability of being a member of an environmental group. P(GRNGROUP)= (Round to the nearest thousandth as needed.) Estimate the probability of being willing to pay higher prices to protect the environment. P(GRNPRICE)= (Round to the nearest thousandth as needed.) b. Estimate the probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment. P(GRNGROUP and GRNPRICE)=] (Round to the nearest thousandth as needed.) c. Given the probabilities in (a), calculate the probability in (b) if the variables were independent. P(GRNGROUP and GRNPRICE)=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A survey asked subjects whether they are a member of an environmental group and whether they would be very willing to pay higher prices to protect the environment. The results are shown in the table below. For a randomly selected adult, find the probabilities specified in parts (a) through (d).
a. Estimate the probability of being a member of an environmental group.
P(GRNGROUP)=
(Round to the nearest thousandth as needed.)
Estimate the probability of being willing to pay higher prices to protect the environment.
P(GRNPRICE)=
(Round to the nearest thousandth as needed.)
b. Estimate the probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment.
P(GRNGROUP and GRNPRICE)=]
(Round to the nearest thousandth as needed.)
c. Given the probabilities in (a), calculate the probability in (b) if the variables were independent.
P(GRNGROUP and GRNPRICE)=
d. Estimate the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment. Do this directly using the counts in the table.
P(GRNGROUP or GRNPRICE)=
(Round to the nearest thousandth as needed.)
Estimate the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment. Do this by applying the appropriate probability rule to the estimated probabilities found in (a) and (b).
P(GRNGROUP or GRNPRICE)=
(Round to the nearest thousandth as needed.)
Transcribed Image Text:Pay Higher Prices (GRNPRICE)
Yes
No
Total
Environmental Group Member
(GRNGROUP)
Yes
28
64
92
No
89
935
1024
Total
117
999
1116
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