The Binomial Distribution (AQA A-Level Mathematics): Flashcards

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The Binomial Distribution
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Number of outcomes in binomial distribution

Two

Number of trials in binomial distribution

Fixed

nn in X∼B(n,p)X \sim B(n, p)

Number of trials

pp in X∼B(n,p)X \sim B(n, p)

Probability of success each time

XX in X∼B(n,p)X \sim B(n, p)

Number of wins obtained

Assumption about trials (binomial distribution)

Trials are independent

Assumption about probability (binomial distribution)

Fixed probability of winning each time

Binomial probability formula for P(X=x)P(X = x)

(nx)px(1−p)n−x\binom{n}{x} p^x (1-p)^{n-x}

Mean of X∼B(n,p)X \sim B(n, p)

npnp

Variance of X∼B(n,p)X \sim B(n, p)

np(1−p)np(1-p)

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Probability Distributions

Binomial Distribution

Normal Distribution (A Level only)

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Probability Distributions

Binomial Distribution

Normal Distribution (A Level only)

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Binomial Distribution

Normal Distribution (A Level only)

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Probability Distributions

Binomial Distribution

Normal Distribution (A Level only)

Choosing Distributions (A Level only)

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