Binomial or Geometric?

Flashcard
•
Mathematics
•
12th Grade
•
Hard
+1
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1.
FLASHCARD QUESTION
Front
What is a Binomial Distribution?
Back
A Binomial Distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent states and is characterized by a fixed number of trials, each with the same probability of success.
2.
FLASHCARD QUESTION
Front
What is a Geometric Distribution?
Back
A Geometric Distribution is a probability distribution that models the number of trials needed to achieve the first success in a series of independent Bernoulli trials, each with the same probability of success.
3.
FLASHCARD QUESTION
Front
When is a situation modeled by a Binomial Distribution?
Back
A situation is modeled by a Binomial Distribution when there are a fixed number of trials, two possible outcomes (success or failure), and the probability of success is constant across trials.
4.
FLASHCARD QUESTION
Front
When is a situation modeled by a Geometric Distribution?
Back
A situation is modeled by a Geometric Distribution when we are interested in the number of trials until the first success occurs, with each trial being independent and having the same probability of success.
5.
FLASHCARD QUESTION
Front
What is the formula for the Binomial Probability?
Back
The formula for the Binomial Probability is 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.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
6.
FLASHCARD QUESTION
Front
What is the formula for the Geometric Probability?
Back
The formula for the Geometric Probability is P(X=k) = (1-p)^(k-1) * p, where k is the number of trials until the first success and p is the probability of success.
7.
FLASHCARD QUESTION
Front
Example of a Binomial Distribution scenario.
Back
Flipping a coin 10 times and counting the number of heads.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
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