Problem 2 (wait until session 1 I to start it) A geodesic drone is using LIDAR, a laser system for measuring distances, to measure its altitude with respect to the ground. The laser's technical specs tell us that its measurements have normally distributed errors (mean ,u. = Um, standard deviation (I = 1m). - When the drone is resting on the ground (zero altitude), what is the probability of getting a negative altitude measurement? - At time 1,, the drone is flying. We measure the altitude three times in a row and get the following results: 61.4m, 60.9m, 61.8m. Build a 95% confidence interval for the drone's true altitude at time t. - Ten seconds later, at l, l 10, we get three more altitude readings: 63.0m, 61.5m, 62.5m. Do the following hypothesis test: HO: the drone's altitude has stayed constant. Ha: the drone has increased its altitude