Question

Here is probability data on a random sample of students who have enrolled in a Business-related Math course... PASS FAIL Withdrew TOTAL Calculus .238 .044 .039 .321 Statistics .559 .051 .069 .679 TOTAL .797 .095 .108 1 Compute the probability of passing the course given that the course taken was statistics.

Answer 1

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