Q. An entrepreneur opened a small hardware store in a strip mall. During the first few weeks, business was slow, through the store averaging only one customer every 20 minutes in the morning. Assume which the random arrival of customers is Poisson distributed.
(a) Illustrate what is the probability which at least 1 hour would elapse among customers?
(b) Illustrate what is the probability those 10 to 30 minutes would elapse among customers?
(c) Illustrate what is the probability which less than 5 minutes would elapse among customers?
Round your answers to 4 decimal places, the tolerance is +/-0.0001
(a) 1 hour interval
P(x ≥ x0=
(b) 10 to 30 minutes
P(10 to 30 minutes) =
(c) less than 5 minutes
P(x < .25) =