00:01
There is given a possine distribution here.
00:03
And let me just take notes what's given here.
00:06
The mu value was given here, which is equal to 3.
00:09
So what we have to do, we have to write an appropriate possane probability function for f2 and f1.
00:17
So first of all, we can just define the random variable x, which is the possein distribution here, and the mu value was given here.
00:24
Three.
00:25
So for the first one, the probability mass function.
00:30
For this one, which is because there is given the f of 2, we have to get this one here.
00:35
So the probability of mass function, probability of mass function by 4 mu is equal to 3.
00:48
Remember the general form for the possein distribution, which is equal to e to the power minus mu times this is mu to the power x and divided by, which is x factorial.
00:59
So for f of, so when we just write the function here, so when we just plug in the mu is equal three, so the probability mass function would be, which is this is e to the power negative three times three to the power x divided by x factorial.
01:16
This is the formula that we have for this question.
01:20
And what about for part b? we have to find the value of f of 2.
01:25
So what that means, we have to just plug in the value for x is equal to 2.
01:32
E to the power negative 3 times 3 to the power 2 and divided by 2 factor ill, which is e to the power negative 3 times 9 divided by 2.
01:42
That would be, let me just get the answer, this is 9 times e to the power, e to the power minus 3, and this is divided by, which is 2.
01:53
So the answer would be, which is 0 .22 and 40.
01:57
This is the answer we have...