A professor reads papers according to a Poisson process with mean 30 minutes per paper. Assume that as soon as the professor finishes reading a paper, the professor starts reading a new paper. The professor is flying home for thanksgiving and estimates that they will have 3 hours of flight time available to read the papers. What is the smallest number of papers that the professor should bring with them, if the professor wishes the probability of running out of papers to read to be less than 0.45?

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet