00:01
In this question, we're given an emergency room.
00:03
The number of people arriving is at a rate of 5 per hour.
00:07
Now in general, suppose i have x is a distribution following the poisson distribution with mean lambda.
00:14
The expectation of x is also the mean and that's lambda and the variance of x is also lambda.
00:25
Now i'm gonna let x be the number of people arriving in a given one hour period.
00:30
So x follows the poisson distribution, the mean will be 5.
00:35
Part a, i'm gonna let y be the number of people arriving in a given 75 minute period.
00:41
Now since x follows the poisson distribution, y will also follow the poisson distribution.
00:46
The mean now will be 5 per hour.
00:49
Now i'm gonna divide by 60 minutes because one hour is 60 minutes...