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Binomial & Poisson Distributions · Question 60 of 68

Question 60

MediumOriginal question

XX follows a Poisson distribution with λ=1\lambda = 1. What is P(X=3)P(X = 3)? (Take e−1=0.3679e^{-1} = 0.3679.)

Options for question 60

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. P(X=r)=e−λλrr!P(X = r) = \frac{e^{-\lambda}\lambda^{r}}{r!} with λ=1\lambda = 1, r=3r = 3.

  2. =0.3679×133!=367960000= \frac{0.3679 \times 1^{3}}{3!} = \frac{3679}{60000}.

Worth noting

0.1226 divides by 3 instead of 3!=63! = 6.

Concept
The probability of exactly r events
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.

Practise this chapter →

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