In Carter County, 20% of the population lives in the county seat, while the rest
ID: 3294930 • Letter: I
Question
In Carter County, 20% of the population lives in the county seat, while the rest live in the countryside. Suppose 3% of those living in the county seat are selected for jury duty, while 5.5% of those living in the countryside are selected for Jury duty. A resident of the county is randomly chosen. Let D be the event that the person is selected for jury duty, E1 be the event that the person is from the county seat, and E2 be the event that the person is from the countryside. Complete parts (a) through (c) below a. Find the probability that this person is selected for jury duty Write an equation that models the probability. Choose the correct answer below The probability is. (Round to three decimal places as needed.) b. Find the probability that this person is from the county seat, given that this person is selected for jury duty Write an expression that models the probability. Choose the correct answer below P(E2D) .PD) P ( ID) . P(D) + P (EID) . P(D) P (E, D) .PD) OA. P() .PlE1)Explanation / Answer
Answer:
P( E1) =0.20 P( E2) =0.80
P( D/E1)=0.03 P( D/E2) =0.055
a).
A. P( D) = P( D/E1)* P( E1)+ P( D/E2)* P( E2)
=0.03*0.20+0.055*0.80
=0.644
b).
D).
P( D/E1)* P( E1) / P( D/E1)* P( E1)+ P( D/E2)* P( E2)
P= 0.03*0.20/0.644 =0.009317
=0.009
c).
P=)* P( E2) / P( D/E2)* P( E1)+ P( D/E2)* P( E2)
P= 0.055*0.80/0.644 = 0.068323
=0.068