Distributions Flashcards
1
Q
type of poisson
A
discrete
2
Q
PMF of poisson
A
Pr(X=k) = (lambda^k*e^-lambda)/k!
3
Q
expectaion of poisson
A
E[X] = lambda
4
Q
variance of poisson
A
Var(X) = lambda
5
Q
exponential type
A
cts
6
Q
PDF of exponential
A
f(x;lambda) = lambdae^(-lambdax)
7
Q
CDF of exponential
A
F(x;lambda) = 1 - e^(-lambda*x)
8
Q
E[X] and Var(X) of expontential
A
E[X] = 1/lambda
Var(X) = 1/lambda^2
9
Q
Geometric type
A
discrete
10
Q
PMF of Geometric
A
Pr(X=k) = (1-p)^k-1 * p
11
Q
CDF of Geometic
A
F(k;p) = 1-(1-p)^k
12
Q
E[X] and Var(X) of geometric
A
E[X] = 1/p
Var(X) = (1-p)/p^2
13
Q
Binomical type
A
Discrete
14
Q
PMF of binomial
A
Pr(x=k) = (n k)p^k(1-p)^n-k
15
Q
E[X] and Var(X) of Binomail
A
E[X] = np
Var(X) = np(1-p)
16
Q
uniform type
A
cts
17
Q
PDF of unifrom
A
f(x;a,b) = 1/b-a
18
Q
CDF of Uniform
A
F(x;a,b) = (x-a)/(b-a)
19
Q
E[X] and var(X) of unifrom
A
E[X] = (a+b)/2
Var(X) = (b-a)^2/12
