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Answer:
And solving we got:
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
And using the probability mass function we got:
And solving we got:
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583