A random variable X has cumulative distribution functionFX(t) ={0                                          t < 1           1/2t − 1/2                             1 ≤ t < 2           1/2                                       2 ≤ t < 3           1/2t − 1                                3 ≤ t < 4           1                                          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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