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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 .

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91971030

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