Question

In: Statistics and Probability

Choose a young adult (age 25 to 34 years) at random. The probability is 0.11 that...

Choose a young adult (age 25 to 34 years) at random. The probability is 0.11 that the person chosen did not complete high school, 0.34 that the person has a high school diploma but no further education, and 0.24 that the person has at least a bachelor

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?


(b) What is the probability that a randomly chosen young adult has at least a high school education?

Solutions

Expert Solution

P(no HS) = 0.11

P(HS only) = 0.34

P(at least bachelors) = 0.24

a) P(some education beyond high school but does not have a bachelor's degree) = 1 - (P(no HS) + P(HS only) + P(at least bachelors))

                                                               = 1 - (0.11 + 0.34 + 0.24)

                                                               = 0.31

b) P(at least high school) = 1 - P(no HS) = 1 - 0.11 = 0.89


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