00:02
So for this question, we are being asked, what is the probability that the pump lasts more than two years? okay? so more than two years means a pump can last two years till infinity or forever.
00:15
So more than two years.
00:18
So in order to do this, we'll have our equation here given to us for x greater than zero.
00:23
And we will have to integrate it from the boundaries two to infinity.
00:27
Integrating, i've done the integration here, as you can see.
00:30
And i got a final answer of 1 over 16.
00:34
Now the probability lasts more than 2 years would have to be 1 minus p.
00:39
Doing so, i get an answer of 0 .925 of 1 minus 1 over 16.
00:45
So therefore the probability that the pump will last more than 2 years is 0 .925.
00:50
And this is the final answer to your solution...