What is the probability of P(X=k) if a binomial distribution with a trial repeated n = 17 times,using the binomial probability formula to find the probability of k = 8 successes given the probability p=74% of success on a single trial?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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What is the probability of P(X=k) if a binomial distribution with a trial repeated n = 17 times,using the binomial probability formula to find the probability of k = 8 successes given the probability p=74% of success on a single trial?
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Step 1

Given:

In a binomial distribution,

  • Number of trials is, n=17.
  • Number of successes is, k=8.
  • Probability of success on a single trial is, p=74%.

The objective is to find the probability using the binomial probability formula.

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