Binomial Distribution Flashcards by Nick Duley

Q

Binomial distribution notation

A

X ~ B(n,p)
n = trials
p = probability of success

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Q

X ~ B(n,p)
n = trials
p = probability of success

A

Binomial distribution notation

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Q

Formula for binomial distribution?

A

nCr * p^r * (1-p)^(n-r)

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Q

nCr * p^r * (1-p)^(n-r)

A

Formula for binomial distribution?

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Q

X in binomial expansion

A

Number of successes I want

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Q

Number of successes I want

A

X in binomial expansion

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Q

N in binomial expansion

A

Number of trials

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Q

Number of trials

A

N in binomial expansion

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Q

P in binomial expansion

A

Probability of success

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Q

Probability of success

A

P in binomial expansion

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Q

What can binomial CD only find?

A

<= or =

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Q

<= or =

A

What can binomial CD only find?

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Q

How to calculate P(X<4)?

A

P(X<=3)

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Q

P(X<=3)

A

How to calculate P(X<4)?

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Q

How to calculate P(X<=7)?

A

P(X<=7)

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Q

P(X<=7)

A

How to calculate P(X<=7)?

Q

How to calculate P(X>4)?

A

1 - P(X<=4)

Q

1 - P(X<=4)

A

How to calculate P(X>4)?

Q

How to calculate P(X>=3)?

A

1 - P(X<=2)

Q

1 - P(X<=2)

A

How to calculate P(X>=3)?

Q

How to calculate P(20<=X<=45)

A

P(X<=45) - P(X<=19)

Q

P(X<=45) - P(X<=19)

A

How to calculate P(20<=X<=45)

Q

Mean of binomial distribution?

A

n * p

Q

n * p

A

Mean of binomial distribution?

Q

Sigma^2 of binomial distribution?

A

n * p * (1 -p)

Q

n * p * (1 -p)

A

Sigma^2 of binomial distribution?