Answer to Question #310816 in Statistics and Probability for Kiddo

Question

A factory produces fuse. The probability of selecting a defective fuse is 0.045. A sample of 15 fuses were selected. Calculate the probability of getting 12 non defective fuses

Answer 1

Let X be a random variable representing the number of non defective fuses, then X ~ Bin(15, 0.955)

$P(X=12)={15 \choose 12}*0.955^{12}*0.045^3\approx0.024$