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In: Statistics and Probability

A company has two production plants: A and B. 40% of total production is produced in...

A company has two production plants: A and B. 40% of total production is produced in A and 60% in B. It is further known that 3% of A's production and 5% of B's production are defective. 14 articles produced by the company are chosen at random. What is the probability that:

a) Only 3 of the items are defective

b) At least 2 are defective?

c) Only 3 of the articles are good?

d) At most 7 items come out good

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