36. Consider the continuous random variable X whose cumulative distribution function (odf) is given by F(x)=P(X ≤2)=1-e-15I(0,00) (2). (a) Find the pdf of X. (b) Find the median of X. (e) Find P(X > 2).

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36. Consider the continuous random variable X whose cumulative distribution function (odf) is given by
F(x)=P(X ≤2)=1-e-15I(0,00) (2).
(a) Find the pdf of X.
(b) Find the median of X.
(c) Find P(X > 2).
(d) Find P(1 < X < 2).
Transcribed Image Text:36. Consider the continuous random variable X whose cumulative distribution function (odf) is given by F(x)=P(X ≤2)=1-e-15I(0,00) (2). (a) Find the pdf of X. (b) Find the median of X. (c) Find P(X > 2). (d) Find P(1 < X < 2).
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