# Question

A real number between 0 and l00 is randomly selected according to a uniform distribution and rounded off to the nearest integer. For example, 36.5001 is rounded off to 37; √3 is rounded off to 2; and 69.49 is rounded off to 69. Define a random variable to be X = (number selected)–(nearest integer).

(a) What is the domain of this random variable?

(b) Determine the PDF for X.

(c) Determine the mean square value of X.

(a) What is the domain of this random variable?

(b) Determine the PDF for X.

(c) Determine the mean square value of X.

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