00:02
The rate of the accidents is 2 per year.
00:05
In equation 1 i have to find the probability of falling 3 years before the next accident.
00:18
That's a plus that's basically the exponential distribution and that equals to the following where this lambda exponent negative lambda x which is 2 exponent negative 2 times 3 now let's calculators and in excel that's calculated as expone dot east and then brackets other arguments are free to and false all right in question two i have to find the probability that there will be one accident in india that's a a poisson distribution with x of 1, lambda of 2, and it's not the cumulative distribution, and numerically that is exponent power by negative 2 times 2 power by 1 over 1 factorial.
02:02
Now let's move on to question 3.
02:05
In question 3 i have to find the probability that a company will grow at least 3 years without an accident.
02:22
That is 1 minus the cumulative distribution function at 2 and that is exponential.
02:51
Now let's calculate it.
02:54
And in excel that is 1 minus exp 2, 2 and 2.
03:10
Since here i'm focused on the cumulative distribution.
03:14
And lastly in equation 4 i have to find the probability that the company will go at least one year but no more than three years without accidents.
03:30
So now let's calculate this...