variabili aleatorie 2 statistica, Dispense di Statistica

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I I I

Ritardo (minuti) 0 5 10 25

Ritardo (minuti) 0 5 10 25

Ritardo (minuti) 0 4 8 13 19 25 31 37 43

Ritardo (minuti)

0 10 20 30 40

Ritardo

5 10 P(  X  ) =.

P(X  x) 0 10 20 30 40

Ritardo

0 10 X P(X  ) =.

X

f (x) X Z (^) b a f (t)dt = P(a  X  b) x a b ⌠ ⌡a b

f(t)dt

f(x)

X

f (x) X Z (^) b a f (t)dt = P(a  X  b) f (x) R (^1) 1 f^ (t)dt^ =

X

F (x) = P(X  x) = Z (^) x f (t)dt I (^) F (x) x 2 R I (^) F (x) I x! F (x) = I x!+ 1 F (x) =

[ , ]

− 1 0 1 2 3 4 x

1 3 f (x) =

/  x  P(  X  )

[↵, ]

x α β

1 β − α c d p = (^) βd^ −−^ cα P(c  X  d) = d c ↵

[↵, ]

x α β 0 1 β − α c d p = (^) βd^ −−^ cα x α β 0 1 β − α x F(x) = x β^ −−^ αα P(c  X  d) = d c ↵ F (x) = x ↵ ↵