Education among young adults Choose a young adult (aged 25 to 29) at random. The

Chapter 5, Problem 47

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QUESTION:

Choose a young adult (aged 25 to 29) at random. The probability is 0.13 that the person chosen did not complete high school, 0.29 that the person has a high school diploma but no further education, and 0.30 that the person has at least a bachelor’s degree.

(a) What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree? Why?

(b) What is the probability that a randomly chosen young adult has at least a high school education? Which rule of probability did you use to find the answer?

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QUESTION:

Choose a young adult (aged 25 to 29) at random. The probability is 0.13 that the person chosen did not complete high school, 0.29 that the person has a high school diploma but no further education, and 0.30 that the person has at least a bachelor’s degree.

(a) What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree? Why?

(b) What is the probability that a randomly chosen young adult has at least a high school education? Which rule of probability did you use to find the answer?

ANSWER:

Step 1 of 3

Given,

The probability that the person chosen did not complete high school, \(P(A)=0.13\)

The probability that the person has a high school diploma but no further education, \(P(B)=0.29\)

The probability that the person has at least a bachelor's degree, \(P(C)=0.30\)

 

Let’s find the following:

 

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