Understanding Poisson Distribution Concepts

Understanding Poisson Distribution Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial provides a comprehensive overview of the Poisson distribution, explaining its definition, conditions, and applications. It covers the formula for calculating probabilities and demonstrates how to find the mean and variance. The tutorial includes real-world examples and problem-solving exercises to illustrate the use of Poisson distribution in various scenarios.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the main objectives of the lecture on Poisson distribution?

Identify Gaussian distribution, find its mean and variance, and solve related problems.

Learn about binomial distribution, calculate probabilities, and solve calculus problems.

Understand normal distribution, calculate standard deviation, and solve algebraic equations.

Identify Poisson distribution, find its mean and variance, and solve related problems.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the Poisson distribution model?

The probability of continuous random variables.

The number of occurrences of an event in a given time interval.

The distribution of categorical data.

The relationship between two variables.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a condition for a Poisson distribution?

The probability of an event is the same for each interval.

The number of occurrences is a continuous random variable.

Lambda is the mean or average number of occurrences.

Occurrences are independent.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which example illustrates the use of Poisson distribution in space?

Radioactivity count per second.

Count of bacterial colonies per petri plate.

Number of misprints in a book.

Number of incoming calls in a day.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the Poisson distribution?

P(X=x) = 1 / (σ√(2π)) * e^(-(x-μ)^2 / (2σ^2))

P(X=x) = e^(-λ) * λ^x / x!

P(X=x) = (1/λ) * e^(-x/λ)

P(X=x) = (n choose x) * p^x * (1-p)^(n-x)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the probability of X=3 using the Poisson formula with λ=6?

P(X=3) = e^(-6) * 3^6 / 6!

P(X=3) = e^(-3) * 6^3 / 3!

P(X=3) = e^(-3) * 3^6 / 6!

P(X=3) = e^(-6) * 6^3 / 3!

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the smallest value of lambda in the Poisson distribution table?

0.1

1

5

10

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