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3.1-9. Let the random variable X have the pdf f(x)= 2(1x),0x1, zero elsewhere. (a) Sketch the
graph of this pdf. (b) Determine and sketch the graph of the cdf of X. (c) Find (i) P(0X1/2), (ii) P(1/4
X3/4), (iii) P(X=3/4), and (iv) P(X3/4).

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319 Let the random variable X have the pdf fx 21x0x.pdf

  • 1. 3.1-9. Let the random variable X have the pdf f(x)= 2(1x),0x1, zero elsewhere. (a) Sketch the graph of this pdf. (b) Determine and sketch the graph of the cdf of X. (c) Find (i) P(0X1/2), (ii) P(1/4 X3/4), (iii) P(X=3/4), and (iv) P(X3/4).