Question

In a survey of 1000 eligible voters selected at random, it was found that 200 had a college degree. Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 49% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random will have the following characteristics. (Round your answers to three decimal places.)

(a) The voter had a college degree and voted in the last presidential election.


(b) The voter did not have a college degree and did not vote in the last presidential election.


(c) The voter voted in the last presidential election.


(d) The voter did not vote in the last presidential election.

Answer 1

from given information:

	voted	not voted	Total
have degree	160	40	200
not have degree	392	408	800
Total	552	448	1000

a)

P( voter had a college degree and voted in the last presidential election) =160/1000= 0.16

b)

P( voter did not have a college degree and did not vote in the last presidential election) =408/1000=0.408

c)

P(voter voted in the last presidential election)=552/1000 =0.552

d) P( voter did not vote in the last presidential election) =448/1000 =0.448