Final answer:
To find the probability that the number of defective items is at most a certain number in a sample, we can use the binomial distribution. The process yields 10% defective items, and we are selecting 100 items from the process. Using a calculator or software, we can find the binomial cumulative distribution function (CDF) to calculate the probability.
Step-by-step explanation:
To find the probability that the number of defective items is at most a certain number in a sample, we can use the binomial distribution. In this case, the process yields 10% defective items, which means the probability of an item being defective is 0.1. We are selecting 100 items from the process, and we want to find the probability that the number of defectives is at most a given number.
Let's say we want to find the probability that the number of defectives is at most 10. We can use the binomial cumulative distribution function (CDF) to calculate this probability.
Using a calculator or software, we can find the binomial CDF for a given number of trials, number of successes, and probability of success. In this case, the number of trials is 100, the number of successes is 10, and the probability of success is 0.1. The binomial CDF will give us the probability that the number of defectives is 10 or less.
Remember to adjust the values accordingly if you want to find the probability for a different number of defectives.