Question

At a large university, the probability that a student takes calculus and is on the dean's list is 0.042. the probability that the student is on the deans list is 0.21. Find the probability that the student is taking calculus, given that he or she is on the deans list.

Answer 1

As this is probability, we can use the next formulas and tell how is this going to be:
P(A) = student on the dean's list 
P(B) = student taking calculus 
P(A n B) = 0.042 
P(A) = 0.21 
So, P(B) = 0.042/0.21 
= 0.2
So the probability here is of 0.2

Answer 2

The probability that the student is taking calculus, given that he or she is on the deans list is 0.2

How to determine the probability?

The given parameters are:

• P(Dean list) = 0.21
• P(takes calculus and dean list) = 0.042

The required probability is calculated using:

P(takes calculus given dean list) = P((takes calculus and dean list)/P(dean list)

So, we have:

P(takes calculus given dean list) = 0.042/0.21

Evaluate

P(takes calculus given dean list) = 0.2

Hence, the required probability is 0.2

Read more about probability at:

brainly.com/question/251701

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