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?

Result

p =  76 %

Solution:

p1=95%=95100=0.95 p2=80%=80100=0.8  p=100 p1 p2=100 0.95 0.8=76=76%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=76 \%



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