# Lathe

95% of the components manufactured on the lathe comply with the standard, of which 80% of the components are first-class. How likely can we expect a manufactured part to be first class?

Correct result:

p =  76 %

#### Solution:

$p_{1}=95 \%=\dfrac{ 95 }{ 100 }=0.95 \ \\ p_{2}=80 \%=\dfrac{ 80 }{ 100 }=0.8 \ \\ \ \\ p=100 \cdot \ p_{1} \cdot \ p_{2}=100 \cdot \ 0.95 \cdot \ 0.8=76 \%$

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