00:01
Hi, i'm david and i'm reaching happy to answer.
00:03
Now let me bring up your question here.
00:06
In the question here, we're going to discuss about the bosom distribution.
00:11
Let me remind you that if we have the x that followed by the possum with the mean equal to the lambda and then the probability that x equal to k, u equal to the e to the power minus lambda, lambda, power k, over k factorial.
00:28
Also, we know that for the probability, the conditional probability probability given b equal to the probability and b divided by the probability of the b in the question here we're given the x followed by the possum with the mean lambda equal to the three therefore the question asked let you find the probability of the x greater equal to the four given the x squared equal to the two now by the conditional probability it will equal to the probability of the x squared equal to the 4 and the x squared equal to the 2 divided by probability the x squared equal to the 2 now we have that let's say this will be the 2 this will be the 4 first the condition x greater than the 4 it will be studying from here on the way up to the infinity and then the next condition here, we will have the x greater than equal to the 2.
01:36
And it will be here.
01:39
And we want to find the intersection between them, so only this part will be the intersection.
01:45
Therefore, we can rewrite this as a probability of the x greater equal to the 4, divided probability x equals to the 2.
01:55
And therefore on the top we can compute by taking the complement, 1 minus probability the x smaller equal to 3...