Exam #2 Probability Theory

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Last updated 10:10 PM on 4/7/26
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10 Terms

1
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What is the pmf of a binomial rv?

P(x) = (n choose x)p(^x)(1-p)(^n-x)

2
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What is the mean of a binomial rv?

E(x) = np

3
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What is the variance of a binomial rv?

Var(x) = np(1-p)

4
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What is the pmf of a poisson rv?

P(x) = e(^-mu)mu(^x)/x!

5
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What is the mean of a poisson rv?

E(x) = mu

6
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What is the variance of a poisson rv?

Var(x) = mu

7
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What is the pdf of a uniform distribution?

1/(B-A)

8
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What is the mean of a uniform distribution?

(B-A)/2

9
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What is the pdf of an exponential distribution?

(lam)e(^-(lam)x)

10
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What is the mean of an exponential rv?

1/(lam)