Question

The number of phone calls that arrive at a phone exchange is often modeled as a poisson random variable. Suppose that on the average there are 24 calls per hour. What is the probability that there is no calls in 5 minutes?

Answer 1

c on average there is 60/24 =2.5 calls per min

Answer 2

how does that help me find the probability there are no calls in 5 minutes?

Answer 3

we must evaluate proability of getting a call every min

Answer 4

u can do that or i shud do

Answer 5

you should probably haha

Answer 6

y he deleted it :P

Answer 7

i dont know!

Answer 8

now its easy

Answer 9

24/60 = number of calls per minute

Answer 10

sorry i mis read it

Answer 11

0.4 calls per min

Answer 12

made a mistake- during 5 minutes there will be (24/60)*5=2 calls, so \[\lambda=2\] and probability that there will be no calls is \[2^{0}*e ^{-2}/0!=0.135\]

Answer 13

Great, Thanks! Could you answer my other guestion mathmagician?