IYSE n,6644 n , Midterm n , 1 n, Cheat n , Sheet n ,
Discrete Σ ´
Continuous
a 0 E[X] n , = n , x n , xfn,(x) E[X] n,= n, R n,xfn,(x)dx
Σ ´
E[h(X)] n, = n , x n , h(x)fn,(x) E[h(X)] n,= n, R
n,
h(x)fn(, x)dx
nth n, moment n , of n , X: n,E[Xn]
nth n , central n , moment n , of n , X: n , E[(X n , − n,E[X]n]
n , of n , X: n , E[(X n , − n,E[X] ] n , = n, E[X ] n,−
2 2
Variance 2
n,(E[X])
√ successes.
Standard n , Deviation n , of n , X: n , Var(X)
n, n,
E[aX+b]: n , aE[X] n,+ n,b Var(aX+b): n , a2Var(X)
n,Moment-generating n , function: n , MX n,(t) n , =
tX k
n , E[e n,] n,Generating n,Moments: n , E[X ] n,=
k k
n,d /dt Mx(t)|t=0
´ ´ ´
´ ´
Number n , of n , Bernoulli(p) n , trials n , for n , r
n , successes.
´ n,R
arrivals n , observed n , between n , time n , 0 n , and n , time n , t.
R R
´
Discrete Σ ´
Continuous
a 0 E[X] n , = n , x n , xfn,(x) E[X] n,= n, R n,xfn,(x)dx
Σ ´
E[h(X)] n, = n , x n , h(x)fn,(x) E[h(X)] n,= n, R
n,
h(x)fn(, x)dx
nth n, moment n , of n , X: n,E[Xn]
nth n , central n , moment n , of n , X: n , E[(X n , − n,E[X]n]
n , of n , X: n , E[(X n , − n,E[X] ] n , = n, E[X ] n,−
2 2
Variance 2
n,(E[X])
√ successes.
Standard n , Deviation n , of n , X: n , Var(X)
n, n,
E[aX+b]: n , aE[X] n,+ n,b Var(aX+b): n , a2Var(X)
n,Moment-generating n , function: n , MX n,(t) n , =
tX k
n , E[e n,] n,Generating n,Moments: n , E[X ] n,=
k k
n,d /dt Mx(t)|t=0
´ ´ ´
´ ´
Number n , of n , Bernoulli(p) n , trials n , for n , r
n , successes.
´ n,R
arrivals n , observed n , between n , time n , 0 n , and n , time n , t.
R R
´
