00:01
In this problem, we are given that x is having poisson distribution such that the mean number of occurrences, let's represent that with lambda, this is equal to 4.
00:12
And we have to first compute the probability that x is greater than 2 but less than 5.
00:19
So this will be the probability that x is equal to 3 plus probability that x is equal to 4.
00:25
And we will simply use this formula and we see that the probability that x is equal to 3, this will be 4 raised to 3 into e raised to minus 4 divided by 3 factorial.
00:36
And the probability that x is equal to 4, this will be 4 raised to 4 into e raised to minus 4 divided by 4 factorial.
00:44
And this simplifies to 0 .3908 approximately.
00:50
And in the next part, we have to compute the probability that x is less than 23.
00:56
So this will be the probability that x is equal to 0 plus probability that x is equal to 1.
01:02
And like this, we will continue till we find the probability that x is equal to 22...