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Grade 12 Poisson Distribution Quiz

Authored by HUIYI BAO

Mathematics

12th Grade

CCSS covered

Used 7+ times

Grade 12 Poisson Distribution Quiz
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the probability distribution used to model the number of events occurring in a fixed interval of time or space?

Poisson distribution

Exponential distribution

Binomial distribution

Normal distribution

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a Poisson distribution, what does the mean represent?

Average number of events

Minimum number of events

Maximum number of events

Total number of events

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the variance of a Poisson distribution?

Standard Deviation

Mean

Mode

Median

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Give an example of a real-life application where Poisson distribution can be used to model the number of occurrences of a certain event.

Amount of rainfall in a specific area

Temperature fluctuations throughout the day

Customer arrivals at a service center

Number of goals scored in a soccer match

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the probability of exactly 3 events occurring in a Poisson distribution with a mean of 5?

0.000000001

5.67891234

0.567891234

0.140373895

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the probability of a specific number of events occurring in a Po(λ)?

P(X = k) = (e^-λ * λ^k) / k!

P(X = k) = (e^-λ * λ^k) / (k+1)!

P(X = k) = (e^-λ * λ^k) / (k^2)!

P(X = k) = (e^-λ * λ^k) / (k-1)!

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Give an example of a real-life application where Poisson distribution can be used to model the number of occurrences of a certain event.

Number of phone calls at a call center

Number of cars in a parking lot

Number of students in a classroom

Number of pages in a book

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