00:01
So this question follows a person distribution with lambda which is also the mean being equal to 3.
00:12
So for a person distribution, the probability of x equals x or any other variable.
00:20
So go to e to the negative lambda times the lambda exponent x or x factorial.
00:30
If you look at the first part of the question, we want the probability.
00:35
Then x equals 5 accident and we're looking at e to the negative 3 times 3 to the 5 factorial and that's going to be 0 .10802 for the second part we want the probability uh the probability of x lenn 3 3.
01:17
So the probability of less than 3 is the same as the probability of x equals 0 plus the probability of x equals 1 plus the probability of x equals 2.
01:35
So we can do the same thing.
01:37
If you substitute for x equals 0, that's going to be e to negative 3 times 3 exponent 0 over 0 factorial plus e to the negative 3 times 3 exponent 0 over 0 factorial plus e to the negative 0.
01:51
3 times 3 exponent 1 over that's going to be 1 factorial plus b to negative 3 times 3 squared over 2 factorial so it's just going to be e to minus 3 plus 3e to minus oops okay last in 9 e to minus 3 over 2 you're going to get 0 .4 to 1 .9.
02:43
It's going to be the probability that less than 3 accidents is going to occur.
02:49
And the last one which is at least 2...