Question

Please help! This is urgent. Will fan & medal!

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 a batch of 10,000 batteries will contain at least 175 defective batteries?
A. .01
B. .02
C. .03
D. .04
E. .015

Answer 1

E

Answer 2

This is a binomial distribution problem.


n = sample size
p = probability of getting a defective battery
x = amount of defective batteries



In this case, we'll use
p = 0.015
n = 10,000
x = 175

and this calculator
http://stattrek.com/online-calculator/binomial.aspx
to get this
http://prntscr.com/b65kmg

Notice how it shows
\[\Large P(X \ge 175) = 0.023969745701229\]
That rounds to 0.02


So the probability of getting at least 175 defective batteries is approximately 0.02