Andrea Walker is the CEO of an e-fulfillment company called Cubical. Cubical is based in Colombia and manages the e-commerce logistics of small retailers in the capital, Bogota. The company owns a fulfillment center (a warehouse) in the city where it keeps inventory from many different small retailers. These small retailers do not have the resources to find and deliver online orders from their small retail stores, so they trust Cubical to storage, prepare and deliver for them. As online orders arrive through the websites of these small retailers, they are transferred to Cubical warehouse management system (WMS), which then prepares the online order with the inventory they have available and delivers it to the customer.

Each hour, online orders from all small retailers are received at Cubical WMS according to a Poisson distribution with lambda () = 8.2

Given this Poisson distribution, what is the probability that the number of orders that Cubical receives in one hour will be more than 5?

Enter your answer as a decimal form with THREE decimal places. For example, if your answer is 76.06%, you should enter 0.761 in the answer box.

Given this Poisson distribution, what is the probability that the number of orders that Cubical receives in one hour will be exactly 3?

Enter your answer as a decimal form with THREE decimal places. For example, if your answer is 76.06%, you should enter 0.761 in the answer