Binomial and Geometric Probability
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Binomial Probability method used for?
Back
The Binomial Probability method is used to determine the probability of obtaining a certain number of successes in a fixed number of trials.
2.
FLASHCARD QUESTION
Front
What does the Geometric Probability model help to find?
Back
The Geometric Probability model helps to find the number of trials needed before the first success occurs.
3.
FLASHCARD QUESTION
Front
In a Binomial distribution, what are the two outcomes for each trial?
Back
The two outcomes are 'success' and 'failure'.
4.
FLASHCARD QUESTION
Front
What is the formula for Binomial Probability?
Back
P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success.
5.
FLASHCARD QUESTION
Front
What is the expected number of trials in a Geometric distribution before the first success?
Back
The expected number of trials is 1/p, where p is the probability of success.
6.
FLASHCARD QUESTION
Front
If the probability of success is 0.13, what is the expected number of trials to get the first success?
Back
The expected number of trials is 1/0.13 ≈ 7.69.
7.
FLASHCARD QUESTION
Front
What is the probability of getting exactly k successes in n trials in a Binomial distribution?
Back
The probability is calculated using the Binomial Probability formula.
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