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Binomial & Poisson Distributions · Question 34 of 68

Question 34

MediumOriginal question

XX follows a binomial distribution with n=100n = 100 and p=0.2p = 0.2. What is its standard deviation?

Options for question 34

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Variance =npq=100×0.2×0.8=16= npq = 100 \times 0.2 \times 0.8 = 16.

  2. Standard deviation =16=4= \sqrt{16} = 4.

Worth noting

16 is the variance; the standard deviation is its square root.

Concept
The standard deviation of a binomial distribution
Typical time
90 s
Your time
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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.