Here are the bers (in thousands) of earned degrees in a certain country during o

Question

Here are the bers (in thousands) of earned degrees in a certain country during one year, classified by level and by the sex of the degree redipient Bachelor's Masters Professional Doctorate Female 933 401 Male 661 250 42 Use these data to answer the following questions. (a) What is the probability that a randomly chosen degree recipient is a man? (Round your answer to four decimal places.) b) What is the conditional probability that the person chosen recelved a bachelor's degree, given that he is a man? (Round your answer to four decimal places.) rule to find the probability of choosing a male bachelor's degree recipient. Check your result by finding this probability directly from the table of (c) Use the multiplication counts. (Round your answer to four decimal places.)

Explanation / Answer

Total = 933 + 401 + 55 + 26 + 661 + 250 + 42 + 26 = 2394

a) P(degree recipient is a man) = (661 + 250 + 42 + 26)/2394 = 0.4089

b) P(bachelor's degree | he is a man) = P(bachelor's degree and he is a man)/P(he is a man)

                                                            = 661/979 = 0.6752

c) P(male bachelor's degree recipient) = 661/2394 = 0.2761

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