In a certain crime-infested neighborhood, the time that a dwelling is burglarized is approximately exponentially distributed with a mean of 2 years. a. If you move into an apartment in this neighborhood and intend to live there for five years, what is the probability that your apartment will not be burglarized during this time? b. What is the probability that your apartment will be burglarized within a month after you move in?

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