04 Poisson Distributions 11th Grade Quiz

04 Poisson Distributions

Assessment

•

Matthew Kilgore

•

Mathematics

•

11th Grade

•

25 plays

•

Medium

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30 questions

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1.

Multiple Choice

15 mins

1 pt

True or False: $e$ is a mathematical constant like $\pi$ .

True

False

2.

Multiple Choice

15 mins

1 pt

Which of the following is the correct formula to find the probability of any instance of a Poisson random variable "x"?

$P\left(x\right)=\frac{\mu^x\cdot e^{-\mu}}{x!}$

$P\left(x\right)=\frac{e^{\mu}\cdot e^{-x}}{x!}$

$P\left(x\right)=\frac{x^{\mu}\cdot e^{-\mu}}{\mu!}$

$P\left(x\right)=\frac{\mu^x\cdot e^{-\mu}}{\mu!}$

3.

Multiple Choice

15 mins

1 pt

Which of the following is the correct formula to find the expected value of any Poisson random variable "x"?

$E\left(x\right)=\mu$

$E\left(x\right)=e\cdot\mu$

$E\left(x\right)=\mu^2$

$E\left(x\right)=e$

4.

Multiple Choice

15 mins

1 pt

Which of the following is the correct formula to find the variance of any Poisson random variable "x"?

$\sigma_x^2=\mu$

$\sigma_x^2=e\cdot\mu$

$\sigma_x^2=\mu^2$

$\sigma_x^2=e$

5.

Multiple Choice

15 mins

1 pt

The mean number of accidents per month at a certain intersection is 3. What is the probability that in any given month exactly 4 accidents will occur at this intersection?

[Assume accidents occur at random.]

0.0081

0.1680

0.6721

0.7500

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