Often one is interested in the distribution of the deviation of a random variable X from its mean µ = E[X]. Let X take the values 80, 90, 100, 110, and 120, all with probability 0.2; then E[X] = µ =...

Often one is interested in the distribution of the deviation of a random variable X from its mean µ = E[X]. Let X take the values 80, 90, 100, 110, and 120, all with probability 0.2; then E[X] = µ = 100. Determine the distribution of Y = |X − µ|. That is, specify the values Y can take and give the corresponding probabilities