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Poisson Distribution Ira Pre assesment -Lalita

Authored by mentor match

Mathematics

12th Grade

CCSS covered

Used 1+ times

Poisson Distribution Ira Pre assesment -Lalita
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Poisson distribution used for?

Modeling the number of events occurring in a fixed interval of time or space

Modeling the weather patterns

Predicting stock market trends

Estimating the average height of a population

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the key characteristics of a Poisson distribution?

Variable rate

Continuous

Predictable

Discrete, fixed interval, constant rate, memoryless

Non-parametric

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for calculating the Poisson probability?

P(x; λ) = (e^-λ * λ^x) / x^3

P(x; λ) = (e^-λ * λ^x) / x!

P(x; λ) = (e^-λ * λ^x) / x

P(x; λ) = (e^-λ * λ^x) / x^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a Poisson distribution, what does lambda represent?

Total number of occurrences

Standard deviation of occurrences

Median rate of occurrence

Average rate of occurrence

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the mean and variance of a Poisson distribution?

Mean = 2λ, Variance = 2λ

Mean = λ, Variance = λ

Mean = λ, Variance = 2λ

Mean = 0, Variance = 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the mean and variance in a Poisson distribution?

Mean is greater than variance

Mean is less than variance

Mean is unrelated to variance

Mean is equal to variance

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are some real-world applications of the Poisson distribution?

Estimating the number of customers in a store

Predicting the outcome of a coin flip

Forecasting stock prices

Modeling phone calls at a call center, estimating accidents at an intersection, predicting emails received per day, analyzing radioactive decay

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