00:01
All right, so in this question, we have 18s that die from vehicle injuries per day, and we are supposed to find the p of x.
00:16
So we are going to assume that this distribution follows a probability mass function.
00:23
So if on average 8 teens are dying each day, we can say that the poisson distribution has the parameter, lambda equals 8.
00:37
Using this assumption, we can go ahead and write our formula for the poisson distribution function.
00:44
So here's our formula, and this is probably in your textbooks as well, e to the negative lambda times lambda to the x power over x factorial.
00:58
And this is the poisson distribution.
01:00
Plus on.
01:05
All right, so e is a constant.
01:08
We know that, and we have our lambda values, and we are going to find x using the given in the question.
01:17
So we have p of zero, and that's going to be equal to e to the negative 8 times 8 to the zero power over zero factorial.
01:31
Plug this into a calculator and we get 0 .003...