Calculate the number parts per million ppm defective

Solved Step by Step With Explanation- Probability and PPM Calculations

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Answer

Solved Step by Step With Explanation- Probability and PPM Calculations

In other words, P(Z >= -2.09) is approximately 0.9813, which means that the probability of a standard normal random variable Z being greater than or equal to -2.09 is roughly 98.13%.

b. To calculate the number of parts per million (PPM) defective, you can use the probability of manufacturing a good item. In this case, the probability of manufacturing a good item is 0.9976, which means that 99.76% of the items are good.

c. If a process is making 2000 PPM defective, you want to find the probability of manufacturing a good item, which is the complement of the probability of producing a defective item. In this case, the PPM defective is 2000, so the probability of manufacturing a good item is:

Probability of manufacturing a good item = 1 - (2000 / 1,000,000)