Products from a certain machine are too large 15% of the time. What is the...
Products from a certain machine are too large 15% of the time. What is the probability that in a run of 20 parts, 5 are too large?
Answer & Explanation
The probability that 5 parts are too large is
and since 5 parts are too large, the other 15 are of acceptable size with probability
Since any 5 parts can be too large in no particular order, there are
ways to do this, so the probability that exactly 5 parts are too large is
Given, product from a certain machine too large
is 15% of time i.e p=0.15
sample size (n)=20
Answer = 0.1028