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)=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 54E
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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).

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.)
 
 

 

 

Pay Higher Prices (GRNPRICE)
Yes
No
Total
Environmental Group Member
(GRNGROUP)
Yes
28
64
92
No
89
935
1024
Total
117
999
1116
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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