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If performances on the AP Statistics Exam are independent and the probability of passing the AP Statistics Exam is 20%, what is the probability that three students pass the AP Exam?

Answer :

Final answer:

The probability of three independent events happening is the product of their individual probabilities. So, the probability of three students passing the AP Statistics Exam is 0.20^3, which equals 0.008 or 0.8%

Explanation:

This question is about finding the probability that three students pass the AP Statistics Exam, given the probability of a single student passing is 20%. Since the performances on the AP Statistics Exam are independent, the probability of multiple events happening can be found by multiplying the probabilities of the individual events. Therefore, the probability that three students pass the AP Exam is the cube (0.20^3) of the individual student's probability, which equals 0.008, or 0.8%. This calculation is based on the fundamental principle of counting.

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