00:01
Hi, i'm david and i'm here to have you answer your question.
00:04
Now let me bring up your question here.
00:07
In this question we will see a combination of the exponential and the binomial distribution.
00:13
Let me remind you that you have the x followed by the exponential with the mean equal to petal and then the fx equal to the 1 over petal into the bar minus x over petal.
00:31
For x greater than 0.
00:34
Also we know the cumulative distribution of the x equal to 1 minus e to the power minus x over beta.
00:42
And here we have the lifetime of a time of electrical switch follow exponential with the average life equal to 6.
00:56
So therefore we have x.
00:58
It will be the lifetime.
01:01
It will follow exponential.
01:03
With the beta equal to 6.
01:07
Therefore we have the cumulative of the x.
01:09
It will equal to 1 minus e power minus x over 6.
01:14
Now we are interested in the sample of the 300 switches.
01:23
So we have n equal to 300 and then we are interested in the probability that almost 35 failure in the first year.
01:31
Now it will find the probability of the fail during the first year for one switch...