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What is the probability that 17 out of 20 students pass the class with a 70% passing rate?

A. 0.0002
B. 0.0077
C. 0.0209
D. 0.0837

Answer :

Final answer:

This is a binomial probability problem and given a 70% passing rate for individual students, the probability that 17 out of 20 students pass the class is 0.0837. Therefore, the correct answer is D) 0.0837.

Explanation:

The question asks about the probability that 17 out of 20 students pass a class with a 70% passing rate. This is a binomial probability problem.

The binomial probability formula is: P(x; n, p) = C(n, x) * (p^x) * ((1 - p)^(n - x))

Where:

  • n is the number of trials (in our case, the number of students, which is 20),
  • x is the number of successes we are interested in (in our case, the number of students passing, which is 17),
  • p is the probability of a single success (in our case, the passing rate, which is 0.70), and
  • C(n, x) is the combination of n items taken x at a time, and it equals n! / [x!(n - x)!]

Applying these values into our formula gives a probability of approximately 0.0837. Therefore, the correct answer is D) 0.0837.

Learn more about Binomial Probability here:

https://brainly.com/question/34083389

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