Geo,Bin,Poisson
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the probability of exactly k successes in n trials for a binomial distribution?
Back
P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where p is the probability of success.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
2.
FLASHCARD QUESTION
Front
What is 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.
Tags
CCSS.HSS.ID.A.4
3.
FLASHCARD QUESTION
Front
What is the standard deviation of a binomial distribution?
Back
Standard Deviation (σ) = √(n * p * (1-p)).
4.
FLASHCARD QUESTION
Front
What is the expected value of a geometric distribution?
Back
Expected value (E) = 1/p, where p is the probability of success.
5.
FLASHCARD QUESTION
Front
What is the probability of the first success occurring on the k-th trial in a geometric distribution?
Back
P(X = k) = (1-p)^(k-1) * p.
6.
FLASHCARD QUESTION
Front
What is the formula for calculating combinations?
Back
n choose k = n! / (k! * (n-k)!), where n! is the factorial of n.
7.
FLASHCARD QUESTION
Front
What is the probability of getting exactly k heads when flipping a fair coin n times?
Back
P(X = k) = (n choose k) * (0.5)^k * (0.5)^(n-k).
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