Answer:
The probability of passing the course given that the course taken was statistics = P(pass|C) = 0.7414
Step-by-step explanation:
This is a combined probability question
PASS FAIL Withdrew TOTAL
(C) .238 .044 .039 .321
(S) .559 .051 .069 .679
(T) .797 .095 .108 1
C represents probability data from Calculus exam and S represents probability data from Statistics exam
Compute the probability of passing the course given that the course taken was statistics = P(pass|C)
Mathematically, this is given by
P(pass|C) = P(pass n C)/P(C)
Probability of passing Calculus, P(pass n C) = 0.238 (from the table)
Probability of offering Calculus, P(C) = 0.321 (from the table)
the probability of passing the course given that the course taken was statistics is P(pass|C)
P(pass|C) = 0.238/0.321 = 0.7414
