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.

Question

Mathematics

Anne Downs

24 February, 09:11

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.

+2

Answers (1)

Know the Answer?

Melissa Mccann · Answer 1

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