Question

The probability of a student taking a statistics class is 0.83, and the probability of a student taking a calculus class and a

statistics class is 0.66. What is the probability of a student taking a calculus class given that the student takes a statistics
class?
Round your answer to three decimal places.

Answer 1

Explanation:

We can use the conditional probability formula to find the probability of a student taking a calculus class given that the student takes a statistics class:

P(calculus | statistics) = P(calculus and statistics) / P(statistics)

We are given that P(statistics) = 0.83 and P(calculus and statistics) = 0.66.

Substituting the values we have:

P(calculus | statistics) = 0.66 / 0.83

Simplifying the fraction:

P(calculus | statistics) = 0.795

Therefore, the probability of a student taking a calculus class given that the student takes a statistics class is 0.795. Rounded to three decimal places, the answer is 0.795.