Question

A company purchases certain parts from three suppliers A, B, and C. Supplier A supplies 60% of the parts, B supplies 30%, and C supplies 10%. The quality of the parts is known to vary among suppliers, with A, B, and C parts having defective rates of 2.5%, 1%, and 2% respectively. The parts are used in one of the company's major products. a) Find the probability that a randomly selected part is defective. b) When a defective part is found, what is the probability that it is provided by supplier B?

          A company purchases certain parts from three suppliers A, B, and C. Supplier A supplies 60% of the parts, B supplies 30%, and C supplies 10%. The quality of the parts is known to vary among suppliers, with A, B, and C parts having defective rates of 2.5%, 1%, and 2% respectively. The parts are used in one of the company's major products.
a) Find the probability that a randomly selected part is defective.
b) When a defective part is found, what is the probability that it is provided by supplier B?

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Added by Mike R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert David Nguyen

02/01/2022

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Given: - Supplier A supplies 60% of the parts with a defective rate of 2.5%. - Supplier B supplies 30% of the parts with a defective rate of 1%. - Supplier C supplies 10% of the parts with a defective rate of 2%. The probability of selecting a defective part Show more…

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A company purchases certain parts from three suppliers A, B, and C. Supplier A supplies 60% of the parts, B supplies 30%, and C supplies 10%. The quality of the parts is known to vary among suppliers, with A, B, and C parts having defective rates of 2.5%, 1%, and 2% respectively. The parts are used in one of the company's major products. a) Find the probability that a randomly selected part is defective. b) When a defective part is found, what is the probability that it is provided by supplier B?

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