CVHS Binomial Distribution

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Binomial Distribution?
Back
A probability distribution that summarizes the likelihood that a value will take one of two independent states and is defined by the number of trials (n) and the probability of success (p).
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
2.
FLASHCARD QUESTION
Front
What are the assumptions of the Binomial Distribution?
Back
1. Fixed number of trials (n). 2. Each trial is independent. 3. Each trial has only two outcomes (success or failure). 4. The probability of success (p) is constant for each trial.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
3.
FLASHCARD QUESTION
Front
What does 'P(X ≥ k)' represent in a Binomial Distribution?
Back
The probability of getting at least k successes in n trials.
4.
FLASHCARD QUESTION
Front
How do you calculate the probability of exactly k successes in n trials?
Back
Using the formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where (n choose k) = n! / (k!(n-k)!).
Tags
CCSS.HSS.MD.B.6
CCSS.HSS.MD.B.7
5.
FLASHCARD QUESTION
Front
What is the meaning of 'n choose k' in probability?
Back
It represents the number of ways to choose k successes from n trials, calculated as n! / (k!(n-k)!).
6.
FLASHCARD QUESTION
Front
If the probability of success is 0.11, what is the probability of failure?
Back
The probability of failure is 1 - p = 1 - 0.11 = 0.89.
Tags
CCSS.7.SP.C.5
7.
FLASHCARD QUESTION
Front
What is the probability of getting exactly 2 successes in 10 trials with p = 0.11?
Back
Use the formula: P(X = 2) = (10 choose 2) * (0.11)^2 * (0.89)^8.
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