Question

At a large university, the probability that a student takes calculus and statistics in the same semester is 0.02. The probability that a student takes statistics is 0.18, while the probability of taking calculus is 0.10. Find the probability that a student is taking calculus given that he or she is taking statistics.

Answer 1

The probability that a student is taking calculus given that he or she is taking statistics is = 0.26

Explanation:

the probability that a student is taking calculus given that he or she is taking statistics.

Let C = Calculus

S = Statistics

We solve this above Question nursing the formula;

P ( C ∪ S) = P(C) + P ( S ) - P ( C ∩ S)

From the question,

P(C) = 0.10

P( S ) = 0.18

P ( C ∩ S) = 0.02

P ( C ∪ S) = ???

P ( C ∪ S) = 0.10 + 0.18 - 0.02

= 0.28 - 0.02

= 0.26