SOLUTION: The probability that a student passes a class is p(P) = 0.58. The probability that a student studied for a class is p(S) = 0.53. The probability that a student passes a cla

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that a student passes a class is p(P) = 0.58. The probability that a student studied for a class is p(S) = 0.53. The probability that a student passes a cla      Log On


   



Question 1173625: The probability that a student passes a class is
p(P) = 0.58.
The probability that a student studied for a class is
p(S) = 0.53.
The probability that a student passes a class given that he or she studied for the class is
p(P / S) = 0.76.
What is the probability that a student studied for the class, given that he or she passed the class
(p(S / P))?
Hint: Use Bayes' theorem. (Round your answer to two decimal places.)
p(S / P) =

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
P{S|P}= p{S}* p{P|S}/p{P}
=0.53*0.76/0.58
=0.69