A manufacturer knows that 2%2/% 2% 2, percent of its microchips are produced with a certain defect. They decide to change their process to make it more efficient, and they want to test if the new process has the same defect rate or not.

Question

Mathematics

Evelin Hartman

8 February, 11:29

A manufacturer knows that 2%2/% 2% 2, percent of its microchips are produced with a certain defect. They decide to change their process to make it more efficient, and they want to test if the new process has the same defect rate or not.

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Answers (1)

Know the Answer?

Lincoln Perez · Answer 1

Answer: 0.0776

Step-by-step explanation:

Since the manufacturer knows that 2% of its microchips are produced with a certain defect. Then

P (defective) = 2/100 = 0.02

P (non defective) = 1 - 0.02 = 0.98

Probability of all 4 not defective will be

P (all 4 not defective) = 0.98^4 = 0.9224

Probability that at least one of the selected chip is defective will be

P (at one defective) = 1 - 0.9224

= 0.0776