The number of arrivals at the gallery is Poisson distribution with the average of 4.5 people per hour.
i) Find out the probability that between 10 as well as 14 people (inclusive) will arrive in the next 4-hour period.
ii) Allow Y be the time (in minutes) between 2 consecutive visitors. Determine the distribution of Y?
iii) Determine the mean and standard deviation of Y.
iv) Determine the probability that the time between two visitors is between 10 and 20 minutes.