00:01
In this question, we're given that 20 % of parts produced by a machine are defective, and that 10 parts are randomly selected.
00:09
X is the number of defective parts out of 10.
00:12
Now x follows the binomial distribution.
00:15
You can see there are four criteria here.
00:17
The first criteria, the number of trials, n is fixed and are identical.
00:21
In this case, there are 10 parts, so there will be 10 trials, so n equals to 10.
00:26
And this trial is looking at whether a part is defective or not, so the 10 trials are identical.
00:31
Hence the first criteria is fulfilled.
00:34
Second criteria each trial is independent.
00:37
So a part whether it is defective or not is independent or the other parts.
00:41
So the second criteria is fulfilled...