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Binomial & Poisson Distributions · Question 40 of 68

Question 40

MediumOriginal question

A binomial distribution has mean 6 and variance 4.2. What are nn and pp?

Options for question 40

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. q=npqnp=4.26=0.7q = \frac{npq}{np} = \frac{4.2}{6} = 0.7, so p=0.3p = 0.3.

  2. n=60.3=20n = \frac{6}{0.3} = 20.

Worth noting

0.7 is qq, the ratio of variance to mean, not pp.

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.