What is the probability that the person you choose is woman

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Academic degrees and gender. Here are the projected numbers (in thousands) of earned degrees in the United States in the 2010-2011 academic year, classified by level and by the gender of the degree recipient:

 

Bachelor's

Master's

Professional

Doctorate

Female

933

402

51

26

Male

661

260

44

26

(a) Convert this table to a table giving the probabilities for selecting a degree earned and classifying the recipient by gender and degree.

(b) If you choose a degree recipient at random, what is the probability that the person you choose is a woman?

(c) What is the conditional probability that you choose a woman given that the person chosen received a professional degree?

(d) Are the events "choose a woman" and "choose a professional degree recipient" independent? How do you know?

Reference no: EM131423209

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