Chapter 4 Review

Chapter 4 Review

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSS.MD.A.3, HSS.MD.A.2, HSS.ID.A.4

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What type of probability distribution is used for the number of events occurring in a fixed interval of time or space, such as house fire claims per month?

Back

Poisson distribution.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

2.

FLASHCARD QUESTION

Front

If the average number of breakdowns of a conveyor belt in a month is 2.8, how do you find the probability of exactly two breakdowns occurring in that month?

Back

Use the Poisson probability formula: P(X=k) = (e^(-λ) * λ^k) / k!, where λ is the average rate (2.8) and k is the number of occurrences (2).

3.

FLASHCARD QUESTION

Front

What is a continuous random variable? Provide an example.

Back

A continuous random variable can take any value within a given range. Example: The time it takes a randomly selected student to complete an exam.

4.

FLASHCARD QUESTION

Front

What type of probability distribution should be used when determining the probability of a certain number of successes in a fixed number of trials, such as rolling a die multiple times?

Back

Binomial distribution.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

5.

FLASHCARD QUESTION

Front

How do you calculate the mean of a probability distribution?

Back

The mean (expected value) is calculated as E(X) = Σ [x * P(x)], where x is the value and P(x) is the probability of x.

Tags

CCSS.HSS.MD.A.2

6.

FLASHCARD QUESTION

Front

What is the formula for the Poisson probability distribution?

Back

P(X=k) = (e^(-λ) * λ^k) / k!, where λ is the average number of occurrences and k is the number of occurrences.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

7.

FLASHCARD QUESTION

Front

What is the significance of the parameter λ in the Poisson distribution?

Back

λ represents the average number of occurrences in a fixed interval.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?