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q =

g ( xi ) f ( xi )

,

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b

E (Q ) =

∫

Q ( x ) ⋅ f ( x ) dx =

a

⇒

±

b

∫ a

I = E (Q ) ≅

1 N

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g ( x ) dx = I

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N

∑

i=1

q

±

i 

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±

q =

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1 N

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∑

i =1

qi

q −q

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±

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E (Q ) = ±

1 N

D (Q ) =

1 N

b

2

= σ

2

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Q

f (q ) = ±

E ( Q ), D ( Q ) =

− 1 1 ⋅ ⋅e 2π σ

( q − E ( q )) 2 2 ⋅σ 2

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E ( Q ) + 3σ

∫

f ( q ) d q ≅ 0 . 997 ⇒

E ( Q ) − 3σ

P [ E ( Q ) − 3 ⋅ σ ≤ q ≤ E ( Q ) + 3 ⋅ σ ] ≅ 0 . 997

±

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±

SDN

±

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P [ E ( Q ) − q ≤ 3σ ] ≅ 0 . 997 b P [ chyba ≤ 3 ] ≅ 0 . 997 N

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