Conditional probability if 40\% of the population have completed college, and 85\% of college graduates are registered to vote, what percent of the population areboth college graduates andregistered voters? To find: The percent of people who is both college graduates and registered voters.

remolatg 2021-02-22 Answered
Conditional probability if 40% of the population have completed college, and 85% of college graduates are registered to vote, what percent of the population areboth college graduates andregistered voters?
To find: The percent of people who is both college graduates and registered voters.
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Expert Answer

Jayden-James Duffy
Answered 2021-02-23 Author has 91 answers
Approach:
Conditional probability is the probability of an event occurring based on the occurrence of a previous event.
In other words, P(BA) is a conditional probability that the event B will occur given that another event A has already occurred. In this case, A and B are dependent events.
P(BA) is ead as the conditional probability of B given A.
Multiplication property of probabilities: For events A and B, P(AB)=P(A)P(BA)=P(B)P(AB).
Given:
40% of the population is college graduates and 85% of college graduates are registered voters.
Calculation:
Let P(A) be the probability that a person have completed college and let P(BA) is the probability that a college graduates are registered to vote.
According to question, P(A)=0.4 and P(BA)=0.85.
The probability that a person is both college graduates and registered voters is P(AB).
The probability of occurrence of both A and Bcan be found by using multiplication property of probabilities.
Substitute P(A)=0.4 and P(BA)=0.85 in P(AB)=P(A)P(BA).
P(AB)=(0.4)(0.85)=0.34
Final statement:
Therefore, the population is both college graduates and registered voters is 34%.
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