I need some help. I just started a class because they don't offer the prerequisite this quarter. If someone knows where I can find a good intro to Poisson process document/webpage/etc that would also be helpful.
Phone calls arrive according to a poisson process with a rate of 3 calls per minute. Each call lasts exactly 10 seconds. Find the probabilities
1) that a call does not overlap with either the call before or after itself
2) that a call does not overlap with any other call
x=2 (a second call arriving within the 10s interval)
P(2,.5) = (e^-.5)(.5^2)/2! = 0.0758
1) 2*P(2,.5) ----once for the chance of starting while the previous call is occurring, once for the chance of a call starting while your call is going
Is this even close?