Binomial Probability [Exact]

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is Binomial Probability?
Back
Binomial Probability refers to the probability of obtaining a fixed number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
2.
FLASHCARD QUESTION
Front
What is the formula for Binomial Probability?
Back
The formula is P(X = k) = (nCk) * (p^k) * (1-p)^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success, and nCk is the binomial coefficient.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
3.
FLASHCARD QUESTION
Front
What does 'n' represent in the Binomial Probability formula?
Back
'n' represents the total number of trials or experiments conducted.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
4.
FLASHCARD QUESTION
Front
What does 'k' represent in the Binomial Probability formula?
Back
'k' represents the number of successful outcomes we are interested in.
5.
FLASHCARD QUESTION
Front
What does 'p' represent in the Binomial Probability formula?
Back
'p' represents the probability of success on a single trial.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
6.
FLASHCARD QUESTION
Front
What is the binomial coefficient (nCk)?
Back
The binomial coefficient, denoted as nCk, is calculated as n! / (k!(n-k)!), where '!' denotes factorial, and it represents the number of ways to choose k successes from n trials.
7.
FLASHCARD QUESTION
Front
How do you calculate the probability of at most k successes?
Back
To calculate the probability of at most k successes, sum the probabilities of getting 0, 1, 2, ..., k successes: P(X ≤ k) = Σ P(X = i) for i = 0 to k.
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