Emails arrive in an inbox according to a Poisson process with rate 20 emailsper hour. LetTbe the time at which the 3rd email arr
ives, measured in hours after acertain fixed starting time. FindP(T >0.1) without using calculus.Hint: Apply the count-time duality.
1 answer:
Answer:

Step-by-step explanation:
We are going to solve this exercise using count-time duality.
The event
means that the time when third mail arrives is later than 0.1 h
This fact means that in the previously interval there have come two or fewer emails.
Let be X the random variable : ''The number of mails that arrived during the first 0.1 h''
Using count-time duality ⇒ 
X ~ Po (20. 0.1)
X ~ Po (2)
Now we calculate 
The probability function for X is :

Where m = λ



Finally, 
You might be interested in
What we have to find in this question
Soil is not a Basic need of all the organisms.
I believe the answer is 1.35 x10^14
No problem I I’m just going sorry bye I don’t have want some of money
To find that one, just look at the highest exponent. In the given equation that would be 4, so there can be at most 4 zeros in this function.