3. The company Moonbound sells luxury spaceships. According to their historical sales, cus- tomers buy spaceships at an average rate of 3 per week. Spaceships are expensive for them to stock but, on the other hand, they hate to run out of spaceships and turn away a rich customer. Once a week, Moonbound restocks spaceships for the coming week. They want to have the minimum number of spaceships such that there is less than 1% probability that they have more spaceship demand than spaceship supply during the next week. They cannot figure out how many spaceships this should be and turn to you for advice. After asking some questions, you determine that spaceship purchases seem to be independent of each other and decide that a Poisson distribution would be a good model. Given this decision, how many spaceships should Moonbound stock for the coming week? Justify you answer. (Hint: I found a spreadsheet to be a good tool for solving this