3. A company receives deliveries of a particular component from three (3) differ

Question

3. A company receives deliveries of a particular component from three (3) different suppliers A, B and C. It finds that the proportion of components that are good or defectives from its total receipts are as shown in the following table:

Component Suppliers

A B C

Good 0.36 0.38 0.16

Defective 0.04 0.02 0.04

a. If a component is selected at random from all those received, what is the probability that it is defective?

b. What is the probability that a component from Supplier A is defective?

c. Is the quality of the component independent of the source of supply?

d. What is the probability that a randomly selected component is from Supplier C?

Show mathematics and logical reasoning in arriving at the answers to above questions.

Explanation / Answer

a) P( Defective) = 0.04+0.02+0.04 = 0.10

B) P ( Supplier from A is Defective) = 0.04

C) no, they are not dependent because probability of one event depend on the other events

D) P ( From Supplier C) = 0.16+0.04 = 0.20

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