You would like to find a probability distribution for the total amount of rain that fell after 5 rain events (in a different city). You know that the size (depths) of rain events at the daily scale are exponentially distributed with mean 15 cm, and that each of these daily rain events are independent. Designate variable X as the sum of these rain events. Generate 1000 realizations of X and plot its histogram What distribution would you use to fit the histogram in the previous problem

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.