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2. The Gompertz distribution f (w; 77, b) = 5776*\" exp (-nebx) is frequently used to describe lifetimes, and can be used in reliability engineering. A study of aircraft engines yields a set of lifetimes {$1,332,333 . . .xn}. Assuming the population is Gompertz distributed, a) Write out the likelihood function for the sample. b) Take the natural logarithm of part a) 0) Write out the expressions you would use to estimate the parameters 71 and 5 according to maximum likelihood