Binomial Distribution - Math 4
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a Binomial Experiment?
Back
A binomial experiment is a statistical experiment that has the following properties: 1) The experiment consists of n identical trials. 2) Each trial has two possible outcomes: success or failure. 3) The probability of success, denoted by p, is the same for each trial. 4) The trials are independent.
2.
FLASHCARD QUESTION
Front
What are the conditions for a binomial distribution?
Back
1) Fixed number of trials (n). 2) Two possible outcomes (success or failure). 3) Constant probability of success (p) for each trial. 4) Independent trials.
3.
FLASHCARD QUESTION
Front
Is rolling a die ten times a binomial experiment?
Back
No, because there are more than two outcomes (1, 2, 3, 4, 5, 6).
4.
FLASHCARD QUESTION
Front
Is flipping a coin 20 times and counting heads a binomial experiment?
Back
Yes, because there are two outcomes (heads or tails) and the trials are independent.
5.
FLASHCARD QUESTION
Front
What is the probability of getting at least 2 successes in a binomial distribution?
Back
To find the probability of at least k successes, calculate 1 minus the probability of getting fewer than k successes.
6.
FLASHCARD QUESTION
Front
What is the formula for the 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.
7.
FLASHCARD QUESTION
Front
What does 'n choose k' mean in binomial probability?
Back
'n choose k' or C(n, k) is the number of ways to choose k successes in n trials, calculated as n! / (k!(n-k)!).
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