(a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 0.025x + 0.4 d  (b) Calculate P(X ≤ 4).  How does this probability compare to  P(X < 4)? P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4)     P(X ≤ 4) > P(X < 4) c) Calculate  P(3.5 ≤ X ≤ 4.5). And P(4.5 < X).

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