The probability that a given computer chip will fail is 0.02 independent of other computer chips.Find the probability that of 5 delivered chips,exactly 2 will fail.
A)9039
B)0922
C)0012
D)0000
E)0038

Question

Quizplus · Accepted Answer

The probability of exactly 2 chips failing out of 5 can be calculated using the binomial probability formula, which is $P(X=k) = \binom{n}{k}p^k(1-p)^{n-k}$, where $n$ is the number of trials, $k$ is the number of successes, $p$ is the probability of success, and $\binom{n}{k}$ is the binomial coefficient. Here, $n=5$, $k=2$, and $p=0.02$. Thus, the probability is $\binom{5}{2}(0.02)^2(0.98)^3 = 10 \times 0.0004 \times 0.941192 = 0.003776$, which rounds to 0.0038.

The Probability That a Given Computer Chip Will Fail Is