1. ## diskette probability

A computer accessories distributor obtains its supply if diskettes from manufacturers A abd B with 60 % of the diskettes from manufacturer A . The diskettes are packed by the manufacturers in packets of tens . The probability that a diskette produced by manufacturer A is defective is 0.05 whereas the probability that a diskette produced by manufacturer B is defective is 0.02 . Find the probability that a randomly chosen packet contains exactly one defective diskette .

2. Originally Posted by thereddevils
A computer accessories distributor obtains its supply if diskettes from manufacturers A abd B with 60 % of the diskettes from manufacturer A . The diskettes are packed by the manufacturers in packets of tens . The probability that a diskette produced by manufacturer A is defective is 0.05 whereas the probability that a diskette produced by manufacturer B is defective is 0.02 . Find the probability that a randomly chosen packet contains exactly one defective diskette .
$X_A$ ~ Binomial(n = 10, p = 0.05).

$X_B$ ~ Binomial(n = 10, p = 0.02).

Calculate $0.6 \Pr(X_A = 1) + 0.4 \Pr(X_B = 1)$.