A random variate has the following triangular density f x 1 16 min x 8 x 0 x 8 Develop algorithms to generate this variate using

Question

A random variate has the following triangular density f x 1 16 min x 8 x 0 x 8 Develop algorithms to generate this variate using Inverse transformation 1 Write the density function f x in two parts 2 Find f 4 f 8 3 Find the expectation of x 4 Draw f x 5 Find CDF F x 6 Draw F x 7 Find F 4 F 8 and F 10 8 Find the inverse of F x 9 Find the random variate 10 Find the value of the random variate for U 0 0 5 8 and 1

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