Here are the projected numbers (in thousands) of earned degrees in a certain cou

Question

Here are the projected numbers (in thousands) of earned degrees in a certain country during an academic year, classified by level and by the sex of the degree recipient: Convert this to a table giving the probabilities for selecting a degree earned and classifying the recipient by gender and the degree by the levels given above. (Round you answers to four decimal places.) If you choose a degree recipient at random, is the that the person you choose is a woman? (Round your answer to four decimal places.) 0.5658 What is the conditional probability that you choose a woman, given that the person chosen received a professional degree? (Round your answer to four decimal places. Are the events "choose a woman" and "choose a professional degree recipient independent? How do you know? Yes, because the two probabilities in (b) and (c) are equal. Yes, because the two probabilities in (b) and (c) are not equal No, because the two probabilities in (b) and (c) are equal. No, because the two probabilities in (b) and (c) are not equal.

Explanation / Answer

( c )

P (women | received a professional degree) = 45 / (45+46)

= 0.4945

Answer: 0.4945

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