Question

A battery manufacturer makes batteries that have a failure rate of .015. That is, 15 out of each 1,000 batteries are defective. What is the probability that 175 out of the 10000 will be defective

Answer 1

P(failure) = 0.015
p(success) = 1 - 0.015 = 0.985
let x be the random variable that a battery is deffective, then
p(x = 175) = 10000C175 * (0.015)^175 * (0.985)^(10000 - 175)
= 0.00408