S2 Flashcards

1
Q

4 conditions for binomial distribution?

A

Fixed number of trials
Each trial success or failure
Trials are independent
Probability of success is constant

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2
Q

When can binomial be approximated by poisson?

A

When n is large and p is small it can be given by a Poisson distribution where λ=np

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3
Q

CRV F(m) =

A

0.5

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4
Q

CUD F(X) = ?

A

x-a/b-a

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5
Q

When can a binomial be approximated by a normal and how?

A

When n is large and p is close to 0.5

Mean = np
Var = np(1-p)
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6
Q

When can a Poisson distribution be approximated by a normal distribution?

A

When λ is large

Y-N(λ,λ)

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7
Q

Binomial E(X) and Var(X)?

A
E(X) = np
Var(X) = np(1-p)
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