distributions

Question 1

Bernoulli Mean

Answer 1

p

Question 2

Bernoulli Variance

Answer 2

p(1-p)

Question 3

Binomial Probability Mass Function

Answer 3

n!/x!(n-x)! p^x(1-p)^(n-x)

Question 4

Binomial Mean

Answer 4

np

Question 5

Binomial Variance

Answer 5

np(1-p)

Question 6

Poisson Probability Mass Function

Answer 6

e^-λ*(λ^x/x!)

Question 7

Poisson Mean

Answer 7

λ

Question 8

Poisson Variance

Answer 8

λ

Question 9

Hypergeometric Probability Mass Function

Answer 9

(R choose X)*(N-R choose n-x)
N choose n

Question 10

Hypergeometric Mean

Answer 10

nR/n

Question 11

Hypergeometric Variance

Answer 11

n(R/N)(1- R/N)(N-n/N-1)

Question 12

Geometric Probability Mass Function

Answer 12

p(1-p)^x-1

Question 13

Geometric Mean

Answer 13

1/p

Question 14

Geometric Variance

Answer 14

1-p/p^2

Question 15

Negative Binomial Probability Mass Function

Answer 15

(x-1/r-1) p^r(1-p)^x-r

Question 16

Negative Binomial Mean

Answer 16

r/p

Question 17

Negative Binomial Variance

Answer 17

r*(1-p)/p^2