Back to 6.2 Problems on Random Variables and Probabilities

6.2 Exercise 9

Avg difficulty 2.5

A pair of dice is rolled.

  1. Let X be the minimum of the two numbers which turn up. Determine the distribution for X
  2. Let Y be the maximum of the two numbers. Determine the distribution for Y.
  3. Let Z be the sum of the two numbers. Determine the distribution for Z.
  4. Let W be the absolute value of the difference. Determine its distribution.

Pfeiffer, Applied Probability, 6.2 Problems on Random Variables and Probabilities, exercise 9

AI Tutor

Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.