In a batch of mass produced steel beams, 5% of the items are subpar. Suppose the all the items are independent and a batch has 2500 subpar items. a. With more than 150 products that are subpar, approximate the probability b. A probability of 0.95 can be found between ___ and ___ are subpar items. c. Justify your assumptions.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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In a batch of mass produced steel beams, 5% of the items are subpar. Suppose the all the items are independent and a batch has 2500 subpar items.

a. With more than 150 products that are subpar, approximate the probability
b. A probability of 0.95 can be found between ___ and ___ are subpar items.
c. Justify your assumptions.

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