Of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites. What is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree

Answers

Answer 1

Answer:

The conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.

Given that of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites, to determine what is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, the following calculation should be performed:

A cross multiplication must be applied to obtain the percentage of whites who have obtained an associate degree.
21 = 100
12 = X
12 x 100/21 = X
1200/21 = X
57.14 = X

Therefore, the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.

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Answer 2

Answer:

Final answer:

The conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57 %.

Explanation:

The question asks us to compute the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree. The definition of conditional probability P(A|B) is the probability of event A given that event B has happened. In your case, event A is 'degree is earned by a person whose race is White' and event B is 'the degree is an associate's degree'.

The probability P(A|B) can be calculated using the formula: P(A|B) = P(A ∩ B) / P(B).

Applying this information to your question, P(A ∩ B) is the probability that the degree is an associate's degree earned by a person whose race is white, which is 12 %. P(B) is the probability that the degree is an associate's degree, which is 21 %. Therefore, P(A|B) = 12/21 = 0.57 or 57 %.

So the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree is 57 %.

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Answers

Answer:

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Step-by-step explanation:

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