Question

A sample of the parts is taken from each shift (1, 2, or 3) in a...

A sample of the parts is taken from each shift (1, 2, or 3) in a manufacturing operation to investigate the relationship between the shift and the quality of parts (conforming or nonconforming) being produced. The number of conforming and nonconforming parts per shift is summarized in the table below:

Shift 1

Shift 2

Shift 3

Total

Conforming

370

285

175

830

Nonconforming

30

15

25

70

Total

400

300

200

900

What is the probability a randomly chosen part is conforming?

What is the probability a randomly chosen part is conforming or from shift 2?

What is the probability a randomly chosen part is conforming given we know the part is from shift 2?

What is the probability a randomly chosen part is from shift 2 given we know the part is conforming?

Math   Statistics-And-Probability   
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Solution:

What is the probability a randomly chosen part is conforming?

Answer: The probability of a randomly chosen part is conforming is:

What is the probability a randomly chosen part is conforming or from shift 2?

Answer: The probability a randomly chosen part is conforming or from shift 2 is:

What is the probability a randomly chosen part is conforming given we know the part is from shift 2?

Answer: The probability a randomly chosen part is conforming given we know the part is from shift 2 is:

What is the probability a randomly chosen part is from shift 2 given we know the part is conforming?

Answer: The probability a randomly chosen part is from shift 2 given we know the part is conforming is:

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