The number of arrivals at a car wash follows a Poisson distribution with an average of 7.50 cars per hour during business hours. We start to observe and record the arrival cars at 1pm of a particular day. Given that no car arrives in the first four minutes, what is the probability that the first car will arrive before 1.10pm?
Let Y be the time (in min) between 2 consecutive arrival cars. Mean no of arrivals is 0.125 per minute Variance = 64 Standard deviation = 8
I understand that this is a conditional probability. But I am not sure how to continue. Any hints please?