Question

Tests are carried out on three machines A, B, and C to assess the likelihood that each machine will produce a faulty component. The results are summarized in the table: Faulty | Not Faulty --------------------- Machine A | 3 | 12 Machine B | 2 | 8 Machine C | 5 | 15 A component is chosen at random from those tested. (a) Find the probability that the component chosen: 1) is from A 2) is a faulty component from machine C 3) is not faulty or is from machine A (b) It is known that the chosen component is faulty. Find the probability that it is from machine B.

          Tests are carried out on three machines A, B, and C to assess the likelihood that each machine will produce a faulty component. The results are summarized in the table:

Faulty    | Not Faulty
---------------------
Machine A | 3
          | 12
Machine B | 2
          | 8
Machine C | 5
          | 15

A component is chosen at random from those tested.
(a) Find the probability that the component chosen:
1) is from A
2) is a faulty component from machine C
3) is not faulty or is from machine A

(b) It is known that the chosen component is faulty. Find the probability that it is from machine B.

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Added by Jennifer I.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Joanna Quigley

01/06/2023

Step 1

- Machine A: 3 (Faulty) + 12 (Not Faulty) = 15 components - Machine B: 2 (Faulty) + 8 (Not Faulty) = 10 components - Machine C: 5 (Faulty) + 15 (Not Faulty) = 20 components - Total components = 15 + 10 + 20 = 45 components Show more…

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Tests are carried out on three machines A, B, and C to assess the likelihood that each machine will produce a faulty component. The results are summarized in the table: Faulty | Not Faulty --------------------- Machine A | 3 | 12 Machine B | 2 | 8 Machine C | 5 | 15 A component is chosen at random from those tested. (a) Find the probability that the component chosen: 1) is from A 2) is a faulty component from machine C 3) is not faulty or is from machine A (b) It is known that the chosen component is faulty. Find the probability that it is from machine B.

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