Product conforming probability

The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming

Final Answer:

p₁ =  85.7375 %
p₂ =  0.0125 %

Step-by-step explanation:

$$\begin{gathered} q=0.95 \\ {p}_1=100\cdot q^3=100\cdot 0.95^3=85.7375\% \end{gathered}$$

$p_2=100\cdot (1-q{)}^3=100\cdot (1-0.95{)}^3=0.0125\%$

Try another example