There are three major manufacturing companies that make a product: AB, BR, and C

Question

There are three major manufacturing companies that make a product: AB, BR, and CH, AB a 50%. market share, BR has a 30% market share, and CH has a 20% market share. 5% of AB product is defective. 7% of BR's product is defective, and 10% of CH's product is defective What is the probability a randomly selected product is defective? What is the probability that a defective product came from BR Company In a school of 1200 students, 250 are seniors, 150 students take math, and 40 students are seniors and are also taking math? What is the probability that a randomly chosen student who is a senior, is talking math? A group of students contains 12 seniors, 12 juniors, and 12 sophomores. What is the probability of picking two senior students in a row?

Explanation / Answer

Based on this table

a. P(defective)=0.066

b. probability that a defective product came from BR P(BR/Defective) = P(BR and Defective) / P(Defective) = 0.021/0.066 = 7/22 = 0.318 (approx).

Good Defective Total AB 0.50-0.025=0.475 0.05(0.50)=0.025 0.50 BR 0.30-0.021=0.279 0.07(0.30)=0.021 0.30 CH 0.20-0.020=0.180 0.10(0.20)=0.020 0.20 0.934 0.066 1.00

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