CASE STUDY CHALLENGE

Probability: Smartphone Defect Analysis

A shop selling electronic items sells smartphones of only three reputed companies A, B, and C because chances of their manufacturing a defective smartphone are only 5%, 4%, and 2% respectively.

In his inventory, he has:

  • • 25% smartphones from Company A
  • • 35% smartphones from Company B
  • • 40% smartphones from Company C

A person buys a smartphone from this shop.

Answer the following:

(i) Find the probability that it was defective. [2]
(ii) What is the probability that this defective smartphone was manufactured by Company B? [2]