Answered

Suppose the probability of a student takes AP Calculus as is on the honor roll is 0.0035, and the probability that a student is on the honor roll is 0.23. Find the probability that a student takes AP Calculus given that he or she is on the honor roll.

Verified Answer :

taskmasters

Find the probability of the students that took the
calculus can be on the honor roll.

0.0035 => probability of students that take the AP Calculus

0.23 => probability of the students that can be on the honor roll


Let’s find the solution:

x = probability of the students that took the calculus can be on the honor roll.

=>  x = 0.0035 / 0.23

=>  0.015

Thus, there is 0.015 probability that the students who took the AP Calculus can
be on honor roll.





TSO

This is a question about conditional probability.

\(P(B|A) = \frac{P(AandB)}{P(A)}\)

\(P(AP~calc|Honor~roll) = \frac{P(AP~calc~and~honor~roll)}{P(honor~roll)}= \frac{0.0035}{0.23}\approx0.015\)