The cdf of a continuous RV X is given by F(x) = 0, x < 0 %3D 3 = 1 - 25 E > x 5- = 1, x 2 3 Find the pdf of X and evaluate P(LXI < 1) and P (÷s X< 4) using both the pdf and cdf

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The cdf of a continuous RV X is given by
F(x) = 0, x < 0
%3D
=x, 0 S.x<
3
= 1 –
(3 – x)°. – s
25
x < 3
= 1, x 2 3
Find the pdf of X and evaluate P(LXI< 1) and P (→SX<4) using both the pdf
and edf.
3
Transcribed Image Text:The cdf of a continuous RV X is given by F(x) = 0, x < 0 %3D =x, 0 S.x< 3 = 1 – (3 – x)°. – s 25 x < 3 = 1, x 2 3 Find the pdf of X and evaluate P(LXI< 1) and P (→SX<4) using both the pdf and edf. 3
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