Statistical software packages, such as SAS and MINITAB, are capable of generating random numbers from a uniform

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Statistical software packages, such as SAS and MINITAB, are capable of generating random numbers from a uniform distribution. For example, the SAS function RANUNI uses a prime modulus 231 – 1 multiplicative generator with modulus and multiplier 397,204,094 to generate a random variable Y from a uniform distribution on the interval (0, 1). This function can be used to generate a uniform random variable on any interval (a, b), where a and b are constants, using an appropriate transformation.

a. Show that the random variable is uniformly distributed on the interval (0, b).

b. Find a function of Y that will be uniformly distributed on the interval (a, b).

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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