Practice Properties Of Poisson Distribution (19.X.2)

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9 questions

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6 sample questions

Question 1.
What is the mean of a Poisson distribution represented by λ?
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Remember, λ stands for the average number.
Question 2.
True or False: The variance of a Poisson distribution is different from its mean.
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Check if both values are defined by the same parameter.
3Question 3.
What is the mean of a Poisson distribution?
- λ
- λ^2
- 2λ
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Think back to how we defined λ earlier.
4Question 4.
True or False: The sum of two independent Poisson variables is also Poisson.
- True
- False
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Recall the additive property discussed.
Question 5.
A bookstore receives an average of 10 customers per hour. Calculate the probability that exactly 15 customers will visit in the next hour.
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Rewrite the PMF equation and plug in the values for λ and k.
Question 6.
In a factory, defective items occur with a mean rate of 0.5 defect per meter. Find the probability of having no defects in a 5-meter stretch of items.
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Identify the λ first, then apply the Poisson PMF for k = 0.

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