in a testing lab, IC chips are tested for their reliability. One critical test i

Question

in a testing lab, IC chips are tested for their reliability. One critical test is to measure whether the chip performed to specification. For instance, a chip specification may state that the chip is supposed to switch 100 million times per seconds. the chips in this lab are not sold to the customer, thus they are sampled without replecment. Today the lab is testing a lot of 50 chips. Based on past performance data, the tester feel that as many as 15 chips in the lot may not meet specification. Calculate the probability that 3 of 10 chips tested fail to meet specifications.

Explanation / Answer

3 chips fail . we need to select them from the 15 chips ie 15C3

we need to select 10 chips from 50 = 50C10

probability that 3 of 10 chips tested fail to meet specifications. = 15C3/50C10

= 455/10272278170 =4.43*10^-8

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