Question

In a certain statistics class the probability is 0.76 that a randomly selected student will be...

In a certain statistics class the probability is 0.76 that a randomly selected student will be female. The probability that the student is female and is getting a degree in Health Administration is 0.12. What is the probability that a randomly chosen student from the class is studying Health Administration, if we know that she's a woman? Report with accuracy to 2 decimals.

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Answer #1

P(F) = 0.76

P(F and H) = 0.12

P(H | F) = P(F and H)/P(F)

= 0.12/0.76

= 0.1579

= 0.16 (rounded to 2 decimal)

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