Assume a set of random variables Z1, Z2, . . . , Zn such that Zi ~ exp (B) generated an observed dataset. An exponential distribution assign a den- sity over continuous numbers from 0 to infinity. The probability density function is f (z) = Be-Bz Suppose we collect a dataset D = (2, 4, 0.5,3). (a) Please compute the log likelihood of an arbitrary dataset D = (Z1, Z2, Z3 . . ' , Zn) (b) Compute the derivative of the log likelihood above (c) Set the derivative of the log likelihood equal to zero and solve for B (ie find the parameter value that maximizes the log likelhiood)