15. A random variable X has the PDF shown in the figure. (a) Find the value of the constant K. (b) Write a numerical expression for the CDF Fx(x). (c) Sketch Fx(x), labeling key points (d) Find the probability that X takes a value less than 0.5. (e) Find the expected value of X. (N-04) X K 10 -2 Px(x) (1) K 1 x->

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15. A random variable X has the PDF shown in the figure.
(a) Find the value of the constant K.
(b) Write a numerical expression for the CDF Fx(x).
(c) Sketch Fx(x), labeling key points
(d) Find the probability that X takes a value less than 0.5.
(e) Find the expected value of X.
(N54) X
K
10
-2
ol
Px(x)
(5)
K
1 x→
Transcribed Image Text:15. A random variable X has the PDF shown in the figure. (a) Find the value of the constant K. (b) Write a numerical expression for the CDF Fx(x). (c) Sketch Fx(x), labeling key points (d) Find the probability that X takes a value less than 0.5. (e) Find the expected value of X. (N54) X K 10 -2 ol Px(x) (5) K 1 x→
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