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 answer:

p =  76 %

Step-by-step explanation:

$$\begin{gathered} p_1=95\%=\frac{95}{100}=\frac{19}{20}=0.95 \\ {p}_2=80\%=\frac{80}{100}=\frac{4}{5}=0.8 \\ p=100\cdot p_1\cdot p_2=100\cdot 0.95\cdot 0.8=76\% \end{gathered}$$

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