Question

Company A provides a critical manufacturing part 10% of the time, Company B provides the samepart 50% of the time and Company C provides the part the rest of the time.There is a 10% chance of the part being defective if provided by Company Aa 30% chance of thepart being defective if provided by Company B, and a 50% chance of the part being defective ifprovided by Company CWhat is the probability of the part being defective?

Answer 1

Explanation

Given the parameters about companies A, B, and C, we can find the probability of the part being defective by multiplying each chance with the percentage of production by each of the companies. This would give;

$\begin{gathered} \text{Probabilty(Defective)}=\frac{10}{100}\times\frac{10}{100}+\frac{50}{100}\times\frac{30}{100}+\frac{40}{100}\times\frac{50}{100} \\ =\frac{9}{25}=0.36 \end{gathered}$

Answer: 0.36