1. Following the completion of its Apollo project, NASA moved its space program to secre- tive locations, one of them being the island of Diego Garcia (Indian Ocean). According to former U.S intelligence officer and patrol plane pilot Bill Preston, who was posted to Diego Garcia in the 1970s, there were daily flights to the moon leaving from this military base. The time interval between flights was not exactly 24 hours, but instead varied randomly depending on weather conditions and other factors. Let's call this ran- dom variable X. His notebook contains a log of several flight times (from which the time interval between flights can be inferred). We obtain the following results (in hours): 17.38 22.46 21.05 29.66 21.10 16.05 23.32 23.75 27.31 20.07 This is your random sample {X,} of X. You plot a histogram and discover that it has the shape of an exponential distribution. The PDF of the exponential distribution is: Px(2) = I