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H6: continue stochastische variabelen De verdelingsfunctie F van X
 

Summary: H6: continue stochastische variabelen
De verdelingsfunctie F van X:
F(x) = P(X x) notatie: F of FX
Eigenschappen (a, b en c zijn karakteristiek)
a. F is niet-dalend
b. lim
x-
F(x) = 0 en lim
x
F(x) = 1
c. F is rechtscontinu
d. P(a < X b) = F(b) - F(a)
e. P(X > x) = 1 - F(x)
f. P(X < x) = lim
h0
F(x - h)
g. P(X = x) = F(x) - P(X < x)
1
1-1/e
F(t)

  

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

 

Collections: Engineering