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Binomial & Poisson Distributions · Question 33 of 68

Question 33

MediumOriginal question

A binomial distribution has mean 8 and variance 4.8. What are nn and pp?

Options for question 33

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. npqnp=q=4.88=0.6\frac{npq}{np} = q = \frac{4.8}{8} = 0.6, so p=0.4p = 0.4.

  2. n=80.4=20n = \frac{8}{0.4} = 20.

Worth noting

p=0.6p = 0.6 takes qq for pp; then the mean would be 12.

Concept
n and p from the mean and variance
Typical time
90 s
Your time
—
The rule this testsMean and variance of a binomial distribution
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Ten questions from Binomial & Poisson Distributions, at your own pace.

Practise this chapter →

Ten questions from Binomial & Poisson Distributions, at your own pace.