A.P. Statistics Chapter 6B: Binomial and Geometric Prob. 24-25

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Mathematics
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10th Grade - University
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a binomial probability?
Back
A binomial probability is the probability of obtaining a fixed number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.
2.
FLASHCARD QUESTION
Front
Define the parameters of a binomial distribution.
Back
The parameters of a binomial distribution are n (the number of trials) and p (the probability of success on each trial).
3.
FLASHCARD QUESTION
Front
What is the formula for calculating binomial probabilities?
Back
The formula is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where k is the number of successes.
4.
FLASHCARD QUESTION
Front
What is a geometric probability?
Back
A geometric probability is the probability that the first success occurs on the k-th trial in a series of independent Bernoulli trials.
5.
FLASHCARD QUESTION
Front
Define the parameters of a geometric distribution.
Back
The parameter of a geometric distribution is p (the probability of success on each trial).
6.
FLASHCARD QUESTION
Front
What is the formula for calculating geometric probabilities?
Back
The formula is P(X = k) = (1-p)^(k-1) * p, where k is the trial on which the first success occurs.
7.
FLASHCARD QUESTION
Front
What does it mean for trials to be independent in a binomial setting?
Back
It means that the outcome of one trial does not affect the outcome of another trial.
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