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SOLVED: 3.40 Given the cumulative distribution function of random variable X shown in the figure (not drawn to scale and all slant lines have the same slope) below, determine the following. a) The constant c that makes FX a valid CDF. b) The probability density function of X (an accurate plot of the PDF will do) Mark all axes clearly and indicate all numerical values. c) The probabilities of the events −2 < X < 0 and 0 < X 2.5. Fr(x) 1 0.65 0.50 0.30 0.20 2 2 x 0 c
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