The probability that an individual without a college education earns more than $100,000 is 0.4, whereas the probability that a person with a b. s. or higher degree earns more than $100,000 is 0.6. the probability that a person chosen at random has a b. s. degree is 0.5. what is the probability that a person has at least a b. s. degree if it is known that he or she earns more than $100,000?

0.6

Step-by-step explanation:

Given:

P( Person chosen at random has a B.S. degree), P(C) = 0.5

P( Person chosen at random does not have a B.S. degree), P(C') = 1 - 0.5 = 0.5

P(Student earns more than $100,000) = P(E)

P(Student earns more than $100,000, without going college) = P(E | C') = 0.4

P(Student earns more than $100,000, with college degree) = P(E | C) = 0.6

Now,

P(at least a B.S. degree | earns more than $100,000), P(C | E)

using Baye's theorem

we have

P(C | E) =

or

P(C | E) =

or

P(C | E) =

or

P(C | E) = 0.6

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step-by-step explanation:

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