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95%

1.64√(σ

2

p

2

)-1.64σ

p

Add random errors

M

PTV

= 2.5Σ + 0.7σ

M

PTV,random

=

CTV

PTV

2.5Σ

M

PTV

= 2.5Σ+ 1.64·(√(σ

2

p

2

) - σ

p

)