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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. parts (a) through (d). Pay Higher Prices (GRNPRICE) Yes No 64 Total 95 Yes 31 Environmental Group Member (GRNGROUP) 88 932 1020 No Total 119 996 1115 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)= (Round to the nearest thousandth as needed.) 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.

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. parts (a) through (d). Pay Higher Prices (GRNPRICE) Yes No 64 Total 95 Yes 31 Environmental Group Member (GRNGROUP) 88 932 1020 No Total 119 996 1115 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)= (Round to the nearest thousandth as needed.) 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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 14CR
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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). Pay Higher Prices (GRNPRICE) Yes No 64 Total 95 Yes 31 Environmental Group Member (GRNGROUP) No 88 932 1020 Total 119 996 1115 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) = (Round to the nearest thousandth as needed.) 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 the table.
Transcribed Image Text: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). Pay Higher Prices (GRNPRICE) Yes No 64 Total 95 Yes 31 Environmental Group Member (GRNGROUP) No 88 932 1020 Total 119 996 1115 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) = (Round to the nearest thousandth as needed.) 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 the table.
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