A random variable A has the probability density functionfA(t) = {c · (2 − t)               0 ≤ t ≤ 2               c · (t − 3)               3 ≤ t ≤ 4               0                              otherwisefor some constant c.(a) Find the value of c that makes fA(t) a valid PDF.(b) Find the cumulative distribution function of A.(c) Find Pr[1 ≤ A ≤ 3]

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