Question

The probability that a student passes a class is p(P) = 0.55. 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) = 0.71. 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 1

GIVEN:

The probability that a student passes a class

The probability that a student studied for a class

The probability that a student passes a class given that he or she studied for the class

TO FIND:

The probability that a student studied for the class, given that he or she passed the class = ?

FORMULA USED:

The formula for Bayes' theorem is given by,

CALCULATION:

The probability that a student studied for the class, given that he or she passed the class is given by,

  

Thus the probability that a student studied for the class, given that he or she passed the class is .