00:01
So here we are going to let x to represent the number of earthquakes occurring in one year.
00:12
So x will be equal to the set of 0, 1, inverse.
00:18
So for part a, our x will be plus only distributed with parameter m to be equal to 2.
00:26
So the pmf of the poison will be equal to e to the power negative 2 times 2 to the power x over.
00:35
X factorial where x is from 0 1 onwards so the probability that there will be 1 to 3 inclusive at quick will be the probability of x line between 1 and 3 so this will be probability of x is equal to 1 plus probability of x is equal to 2 plus probability of x is equal to 3 so we get e to the negative 2 times 2 to the power 1 over 1 factor plus e to the power negative 2 times 2 to the power 2 over 2 factorial plus e to the power negative 2 times 2 to the power 3 4 .3 factor so we get 0 .2707 plus 0 .27 0 .7 plus 0 .1804 and we get our probability of x -line b between 1 and 3 inclusive to be equal to 0 .7218.
01:46
For parts v, for the period of 3 years, average number of earthquakes will be equal to so for the period of 3 years.
01:58
The average number of earthquakes will be equal to 3 times 2, so we get 6.
02:03
So our x here will be positively distributed with parameter, m to be 6.
02:09
So our pmf over e to the power negative 6, 96 to the power x over x factorial.
02:20
Where x is from 0, 1, a bus.
02:28
So we are asked to find the probability of exactly 5.
02:32
So this would be x equal to 5...