[6, -infinity)
have a good night
Answer:
(1)14.9% (2) 2.96% (3) 97.04%
Step-by-step explanation:
Formula for Poisson distribution:
where k is a number of guests coming in at a particular hour period.
(1) We can substitute k = 7 and
into the formula:


(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours




(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:
I believe that none would be irrational; an irrational number can't have terminating or repeating decimals. 3/8= .375, (56/8)^4=7^4=2,401, 36^4/4^4=6561, and .19 repeating is a repeating decimal.