6.4 6.The data shows the number of advanced degrees? (in thousands) earned in a
ID: 3150362 • Letter: 6
Question
6.4 6.The data shows the number of advanced degrees? (in thousands) earned in a state during a recent year by gender and type of degree. Find the following probabilities for a person selected at random who received an advanced degree.
a. The probability that the selected person received a bachelor's degree during the recent year is
?(Type an integer or decimal rounded to three decimal places as? needed.)
b. The probability that the selected person is female is
?(Type an integer or decimal rounded to three decimal places as? needed.)
c. The probability that the selected person is female given that they received a bachelor's degree during the recent year is
?(Type an integer or decimal rounded to three decimal places as? needed.)
d. The probability that the selected person received a bachelor's degree during the recent year given that they are female is nothing.
?(Type an integer or decimal rounded to three decimal places as? needed.)
6.4 6.The data shows the number of advanced degrees? (in thousands) earned in a state during a recent year by gender and type of degree. Find the following probabilities for a person selected at random who received an advanced degree.
Bachelor's Master's Doctor's Male Female 7 91 15 30 4Explanation / Answer
a) P(Bachelor)=98/147=0.667
b) P(Female)=91/147=0.619
c) P(Female|Bachelor)=91/(91+30+4)=91/125=0.728
d) P(Bachelor|Female)=91/(91+7)=91/98=0.929
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