In: Statistics and Probability
of all the students admitted to a college,58% take a workshop prior to taking the math placement test. out of all the admitted students, 80% are placed out of the lower level remedial class,while of all students that take the workshop 90% are placed out of remedial class. what is the probability that a random selected newly admitted student will take the workshop and will be placed out of the lower remedial class?
P(placed out of remedial class | take the workshop) = 0.9
P(take the workshop) = 0.58
P(student will take the workshop and will be placed out of the lower remedial class) = P(placed out of remedial class | take the workshop) * P(take the workshop)
= 0.9 * 0.58
= 0.522