Question 3: Suppose you sample 50 observations from an Exponential distribution with parameter A = 2, and obtain the following histogram: 1 (a) What is the function you have to apply to a Uniform(0, 1) sample in order to obtain this swuuple? (b) Looking at your histogram, you're concerned that the last few bars are not large enough, and you're trying to decide if this histogram is 'believable' as an Exponential (A - 2) sample. Calculate the probability that in a sample of 50 observations from an Exponential(A = 2) density, only 3 of them are greater than 1 (as is shown in this histogram). (e) The average of your sample is 0.4411. Does this seem reasonable to you? Why or why