In: Statistics and Probability
The number of customers that visit a 24-hour local supermarket during the off-peak hours between 8am - 11am is known to be distributed as Poisson with mean 2 per hour. Determine the probability that
i. no customers will visit the supermarket between 8am - 9am.
ii. exactly one customer will visit the supermarket between 9am - 11am.
iii. exactly one customer will visit the supermarket for each of the time intervals 8am - 9am and 9am-11am.