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Step 1: If you choose a degree recipient at random, what is the probability that

ID: 3132441 • Letter: S

Question



Step 1:
If you choose a degree recipient at random, what is the probability that the person you choose is a man? Give your answer to 4 decimal places.


Step 2:
What is the conditional probability that you choose a man, given that the person chosen received a master's degree? Give your answer to three decimal places.


Step 3:
Are the events choose a man and choose a master's degree recipient independent? How do you know?

(13.39) A striking trend in higher education is that more women than men reach each level of attainment. The National Center for Educational Statistics provides projections for the number of degrees earned, classified by level and by the sex of the degree recipient. Here are the projected number of earned degrees (in thousands) in the United States for the 2015–16 academic year:





Step 1:
If you choose a degree recipient at random, what is the probability that the person you choose is a man? Give your answer to 4 decimal places.


Step 2:
What is the conditional probability that you choose a man, given that the person chosen received a master's degree? Give your answer to three decimal places.


Step 3:
Are the events choose a man and choose a master's degree recipient independent? How do you know?

A. Yes, the events are independent. If they were, the two probabilities in (1) and (2) would be equal. B. There is not enough information to answer the question. C. No, the events are not independent. If they were, the two probabilities in (1) and (2) would be equal.

Explanation / Answer

1.

P(man) = 1569/3825 = 0.410196078 [ANSWER]

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2.

P(man|master) = 322/816 = 0.394607843 [ANSWER]

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3.

OPTION C: No, the events are not independent. If they were, the two probabilities in (1) and (2) would be equal.

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