Question

Here is probability data on a random sample of students who have enrolled in a Business-related...

Here is probability data on a random sample of students who have enrolled in a Business-related Math course...

PASS

FAIL

Withdrew

TOTAL

Calculus

.25

.05

.08

.38

Statistics

.42

.08

.12

.62

TOTAL

.67

.13

.20

1


Compute the probability of passing the course given that the course taken was calculus.

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Answer #1

We have to find the probability of passing the course given that the course taken was calculus.

That is we have to find P( Passing the course| calculus)

P( Passing the course| calculus) = P( Passing the course and calculus) / P( Calculus)

P( Passing the course and calculus) = 0.25

P(Calculus) = 0.38

P( Passing the course| calculus) = P( Passing the course and calculus) / P( Calculus)

P( Passing the course| calculus) = 0.25/0.38 = 0.6579

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