Binomial Distribution (Calculating)

Binomial Distribution (Calculating)

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

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

+4

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a Binomial Distribution?

Back

A Binomial Distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent states and is defined by two parameters: n (number of trials) and p (probability of success).

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

2.

FLASHCARD QUESTION

Front

What are the parameters of a Binomial Distribution?

Back

The parameters of a Binomial Distribution are n (the number of trials) and p (the probability of success on each trial).

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

3.

FLASHCARD QUESTION

Front

How do you calculate the probability of exactly k successes in a Binomial Distribution?

Back

P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where (n choose k) = n! / (k!(n-k)!).

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

4.

FLASHCARD QUESTION

Front

What is the formula for calculating P(X ≥ k) in a Binomial Distribution?

Back

P(X ≥ k) = 1 - P(X < k) = 1 - Σ P(X = i) for i = 0 to k-1.

5.

FLASHCARD QUESTION

Front

What is the formula for calculating P(X ≤ k) in a Binomial Distribution?

Back

P(X ≤ k) = Σ P(X = i) for i = 0 to k.

Tags

CCSS.HSS.ID.A.4

6.

FLASHCARD QUESTION

Front

What does the notation X ~ B(n, p) mean?

Back

It means that the random variable X follows a Binomial Distribution with n trials and probability p of success.

7.

FLASHCARD QUESTION

Front

What is the expected value (mean) of a Binomial Distribution?

Back

The expected value E(X) = n * p.

Tags

CCSS.HSS.MD.A.2

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