Let A be the event that a student is full time and let B eve

Let A be the event that a student is full time and let B event that the student lists school quality at the first reason for applying. Are events A and B independent? Justify your answer. The Wayne manufacturing company purchases a certain part from suppliers A, B and C Supplies 60% of the parts B 30% 10%, The quality of the parts varies among the suppliers with A, B, and C having defective rates of 0.25%, 1% and 2% respectively. The parts are used in one of the company\'s major products. When a defective part is found. Which supplier is the most likely source?

Solution

a) Probability that the product is defective = P(it is produced by A) * P(defective product by A) + P(it is produced by B) * P(defective product by B) + P(it is produced by C) * P(defective product by C)

=> 60/100 * 0.25/100 + 30/100 * 1/100 + 10/100 * 2/100

=> 65/10000

=> 0.0065

b) The supplier B will be the most likely to tbe source since it contributes

30/65 = 46.15% of the defective parts