Hey! So I'm pretty sure this question is asking me to use poisson to solve it, but it doesn't explicitly say that, so if I'm wrong let me know!
Trains arrive at a station at the rate of 25 per hour.
a) What is the probability that the time between trains arriving is 6 minutes orless?b) The train company wants to state that waiting times (in minutes) betweentrains have been targeted for improvement. It fails to meet its target 40% of thetime. What target has it set itself?
c) A train enthusiast notes that a goods train arrives, on average, once an hour.
So like I said, I think its poisson, so would the mean be 25 divided by 60? Using that I got 0.999 for part a, because its asking you you to find P(X<=6) right? To get it I did P(0) + P(1) + P(2) + P(3) etc up to P(6). Sound right?
I'm kinda stuck b and c though...
Any help would be much appreciated! I just need to know the methods