The data is based on 100 US men and 100 US women who started

The data is based on 100 U.S. men and 100 U.S. women, who started high school in the year 2000.

Table A Graduated High School Obtained a Bachelor\'s Obtained a Masters

Men 80 51 14

Women 87 63 15

Total 167 114 29

Find the probability that a woman obtained a master\'s, that a man obtained a masters, of the women that graduated high school, the probability that they obtained a bachelor\'s degree and the probability that the men who graduated high school obtained a bachelor\'s degree.

Solution

Find the probability that a woman obtained a master\'s,

P(masters|woman) = 15/100 = 0.15 [ANSWER]

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that a man obtained a masters,

P(masters|man) = 14/100 = 0.14 [ANSWER]

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of the women that graduated high school, the probability that they obtained a bachelor\'s degree

P(BS|HS, W) = 51/80 = 0.6375 [ANSWER]

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and the probability that the men who graduated high school obtained a bachelor\'s degree.

P(BS|HS, M) = 63/87 = 0.724137931 [ANSWER]