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Statistics /Unit 5 Data Lesson 2 - Binomial Distributions

Unit 5 Data Lesson 2 - Binomial Distributions

Statistics4 CardsCreated 4 months ago

This deck covers key concepts of binomial distributions, including Bernoulli trials, probability representations, and formulas for probability and expected value.

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Bernoulli trials

A probability experiment is considered to be a binomial distribution if the experiment consists of Bernoulli Trials. • They consist of: • Are the trials identical? • Trials have to be done the same way each time. • Are the trials independent? • The first outcome of a trial does not impact the next. • Do the trials have two outcomes (success or failure)? • The desired outcome will either happen (success) or not happen (failure)

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Key Terms

Term

Definition

Bernoulli trials

A probability experiment is considered to be a binomial distribution if the experiment consists of Bernoulli Trials. • They consist of: • Are the tria...

what do p and q represent

p = probability of success q = probability of failure, so p = 1 - q and q = 1 - p

binomial distribution probability formula

Binomial distribution probability formula

P(x) = nCx (px) (q n-x)

n = # of trials p = probability of successes

x = # of successes...

binomial distributions expected value

Binomial distribution expected value E(x) = np where n = number of trials and p = probability of success

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Unit 5 Data Lesson 2 - Binomial Distributions

Term	Definition
Bernoulli trials	A probability experiment is considered to be a binomial distribution if the experiment consists of Bernoulli Trials. • They consist of: • Are the trials identical? • Trials have to be done the same way each time. • Are the trials independent? • The first outcome of a trial does not impact the next. • Do the trials have two outcomes (success or failure)? • The desired outcome will either happen (success) or not happen (failure)
what do p and q represent	p = probability of success q = probability of failure, so p = 1 - q and q = 1 - p
binomial distribution probability formula	Binomial distribution probability formula P(x) = nCx (px) (q n-x) n = # of trials p = probability of successes x = # of successes q = probability of failure
binomial distributions expected value	Binomial distribution expected value E(x) = np where n = number of trials and p = probability of success