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 λ. [Hint: The cdf of X is F(x)=P(X ≤x); X ≤x is equivalent to U ≤?] b. How would you use part (a) and a random number generator to obtain observed values from an exponential distribution with parameter λ=10 ? | Numerade

RAND Function

4.1 Uniform Probabilities using the Excel Spreadsheet provided and Excel Spreadsheet