00:01
Here on this problem, we are told that we have a motor with a high rate of reliability, and it's computed to start on any given occasion with the probability of 0 .9999 .9.
00:17
We want to find the probability of at least one failure, so the probability that y is greater than equal to 1, in the next 10 ,000 starts.
00:29
The probability that y is right there equal to 1, and the next 10.
00:34
10 ,000 starts, and so n is 10 ,000.
00:42
Now, this is a binomial distribution.
00:44
It's binomial because all of the trials are independent, whether it starts the next time or not, is independent of whether it did the last time.
00:51
And there are only two outcomes here.
00:53
It's either a start or it won't.
00:55
Now, since we're wanting the probability of it not starting, then p really isn't 0 .991...