00:01
At a certain auto parts manufacturer, the quality control division has determined that one of the machines produces defective parts 19 % of the time.
00:08
So p equals 0 .19.
00:10
We have a random sample of seven parts produced by this machine that we chose.
00:15
We're going to find the probability that at most two of them are defective.
00:21
So we're going to find the probability that x is less than or equal to 2.
00:24
And to do that, we'll need to find the probability of 0 and add it to the probability 1 and the probability of 2.
00:31
This is a binomial probability.
00:33
It's either defective or it's not.
00:35
So we'll use our binomial process.
00:38
So the probability that x equals 2 can be calculated by taking 7 combination 2 times 0 .19 to the second power times 1 minus 0 .19, which is 0 .81, to the 5th power.
00:53
And we're going to get 0 .264 -3 -3 -1 -2 -5 -4...