A random variable X has cumulative distribution functionFX(t) ={0                   t < 11/2 t − 1/2     1 ≤ t < 21/2                2 ≤ t < 31/2 t − 1        3 ≤ t < 41                  4 ≤ t What is the range of X? Compute the probability that |X − 2.5| ≤ 1. Compute the PDF of X.

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