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Binomial & Poisson Distributions · Question 51 of 68

What is the mean number of calls the helpline gets in a 10-minute spell?

Question 51

EasyOriginal question

A helpline receives calls at an average of 3 every 5 minutes, following a Poisson distribution. (Take e−3=0.0498e^{-3} = 0.0498.)

What is the mean number of calls the helpline gets in a 10-minute spell?

Options for question 51

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Calls come at 3 per 5 minutes.

  2. In 10 minutes, λ=2×3=6\lambda = 2 \times 3 = 6.

Worth noting

9 squares the mean, which is the variance rule mixed up with the time.

Concept
The Poisson mean scales with the time
Typical time
90 s
Your time
—
The rule this testsThe Poisson distribution
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Ten questions from Binomial & Poisson Distributions, at your own pace.

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

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