Suppose a computer chip manufacturer rejects 4% of the chips produced because they fail presale testing.What's the probability you find a bad chip within the first 6 you examine?
A)0.0326
B)0.8154
C)0.2172
D)0.0313
E)0.7828

Question

Quizplus · Accepted Answer

The probability of finding a bad chip within the first 6 can be calculated using the binomial distribution formula, where n=6 (number of trials), p=0.04 (probability of success, i.e., finding a bad chip), and x=1 (number of successes, i.e. finding one bad chip). P(X=1) can be calculated as follows:

P(X=1) = nCx * p^x * (1-p)^(n-x)
= 6C1 * 0.04^1 * (1-0.04)^(6-1)
= 6 * 0.04 * 0.961^5
= 0.0217 (rounded to 4 decimal places)

Therefore, the probability of finding a bad chip within the first 6 is 0.0217, which is answer choice C).

Suppose a Computer Chip Manufacturer Rejects 4% of the Chips