Binomial Distributions (4.2)

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Mathematics
•
9th - 12th Grade
•
Hard
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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 of a value taking on two independent outcomes, typically termed as 'success' and 'failure', over a fixed number of trials.
2.
FLASHCARD QUESTION
Front
What are the assumptions of a Binomial Distribution?
Back
1. Each trial is independent. 2. Each trial results in a success or failure. 3. The probability of success is constant across trials. 4. The number of trials is fixed.
3.
FLASHCARD QUESTION
Front
How do you calculate the mean of a Binomial Distribution?
Back
Mean (μ) = n * p, where n is the number of trials and p is the probability of success.
4.
FLASHCARD QUESTION
Front
How do you calculate the variance of a Binomial Distribution?
Back
Variance (σ²) = n * p * (1 - p), where n is the number of trials and p is the probability of success.
5.
FLASHCARD QUESTION
Front
What is the formula for standard deviation in a Binomial Distribution?
Back
Standard Deviation (σ) = √(n * p * (1 - p)).
6.
FLASHCARD QUESTION
Front
If n=50 and p=0.4, what is the mean of the distribution?
Back
Mean = 50 * 0.4 = 20.
Tags
CCSS.HSS.ID.A.4
7.
FLASHCARD QUESTION
Front
If n=50 and p=0.4, what is the variance of the distribution?
Back
Variance = 50 * 0.4 * (1 - 0.4) = 12.
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