Describe a pattern and predict the next number in the pattern
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Answer:
If the lot has 4 defective covers out of 25 total covers, the probability of accepting the lot is P=0.98.
Step-by-step explanation:
We have a population of N=25 skylight covers, were K=4 are defective.
We sample n=5 covers, and we will accept the lot if k=2 or fewer are defective.
We will use the hypergeometric distribution to model this probabilities.
First, to be accepted, the sample can have 2, 1 or 0 defective covers, so the probability of being accepted is:
The probability that there are k defective covers in the sample is:
Then, we can calculate the individual probabilities as:
If we add this probabilities, we have:
If the lot has 4 defective covers out of 25 total covers, the probability of accepting the lot is P=0.98.