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Binomial & Poisson Distributions · Question 55 of 68

Question 55

MediumOriginal question

XX follows a Poisson distribution with λ=2\lambda = 2. What is P(X=2)P(X = 2)? (Take e−2=0.1353e^{-2} = 0.1353.)

Options for question 55

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. P(X=2)=e−2×222!=42×0.1353P(X = 2) = \frac{e^{-2} \times 2^{2}}{2!} = \frac{4}{2} \times 0.1353.

  2. =2×0.1353=0.2706= 2 \times 0.1353 = 0.2706.

Worth noting

0.5412 forgets to divide by 2!=22! = 2.

Concept
The probability of exactly r events
Typical time
90 s
Your time
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The rule this testsThe Poisson 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.