Let U have a uniform distribution on the interval [0, 1]. Then observed values having th...

Let U have a uniform distribution on the interval [0, 1]. Then observed values having this distribution can be obtained from a computer’s random number generator. Let X = – (1/λ)ln(1 – U).

a. Show that X has an exponential distribution with parameter. [Hint: The cdf of X is is equivalent to ?]

b. How would you use part (a) and a random number generator to obtain observed values from an exponential distribution with parameter λ?