Question

Education among young adults. Choose a young adult (aged 25–29) at random. The probability is 0.10 that the person chosen did not complete high school, 0.27 that the person has a high school diploma but no further education, and 0.34 that the person has at least a bachelor’s degree. 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? What is the probability that a randomly chosen young adult has at least a high school education?

Answer 1

Answer:  a) 0.29, b) 0.9

Step-by-step explanation:

Since we have given that

Probability that a person chosen did not complete high school = 0.10

Probability that the person has a high school diploma but no further education = 0.27

Probability that the person has at least a bachelor's degree = 0.34

So, Probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor's degree is given by

=1- P(a person chosen did not complete high school)-P(the person has a high school diploma but no further education)-P(the person has at least a bachelor's degree)

$=1-0.10-0.27-0.34\\\\=0.29$

Probability that a randomly chosen young adult has at least a high school education is given by

= 1- P(a person chosen did not complete high school)

$=1-0.10\\\\=0.9$

Hence, a) 0.29, b) 0.9

Answer 2

The probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree is 0.29, and the probability that a randomly chosen young adult has at least a high school education is 0.90.

Given that a young adult is choosen at random, and the probability is 0.10 that the person chosen did not complete high school, 0.27 that the person has a high school diploma but no further education, and 0.34 that the person has at least a bachelor's degree , to determine 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, and what is the probability that a randomly chosen young adult has at least a high school education, the following calculations must be performed:

• 100 - (10 + 27) - 34 = X
• 100 - 37 - 34 = X
• 100 - 71 = 29
• 100 - 10 = 90

Therefore, the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree is 0.29, and the probability that a randomly chosen young adult has at least a high school education is 0.90.

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