ANSWER
STEP BY STEP EXPLANATION
Given that the Manufacturing has 8% defect rate = 8/100 = 0.08 = p
Step 1: Applying the Binomial Distribution formular
[tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex]
Step 2: Probability of non will have a defect = P(0)
[tex]P(0)=^6C_0(0.08)^0(1-0.08)^{6-0}[/tex]
Step 3: Probability of at least one will have a defect
[tex]\begin{gathered} P(x\ge1)\text{ = 1 - P(0)} \\ \text{ } \end{gathered}[/tex]
