Answer Happy

Problem 6 (Poisson Distribution). The neighborhood coffee shop Moonbucks sells three types of coffees: regular, Americano and caffe latte and charges $2, $2.50 and $4 respectively. Orders for regular coffees occur according to a Poisson distribution with a mean of 20 per hour during the 9-10am time period. Orders for Americanos occur according to a Poisson distribution with a mean of 8 per hour during the same period. Orders for caffe lattes occur according to a Poisson distribution with a mean of 10 per hour during this period. (6.1) Easy. What is the expected number of regular coffees that Moonbucks sells between 9AM to 9:15AM. (6.2) Easy. What is the probability that Moonbucks sells at least one regular coffee between 9AM and 9:05AM? (6.3) Easy. It is 9:05AM. Moonbucks had no client for regular coffees from 9AM to 9:05AM. What is the probability that it has no client for regular coffee between 9:05AM and 9:10AM? (6.4) Moderate. What is Moonbucks' expected revenue between 9AM and 10AM? (6.5) Moderate. What is the probability that Moonbucks sells 35 coffees or more (all three types combined) between 9AM and 10AM?