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The error involved in making a certain measurement is a continuous rv X with the following cdf

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The error involved in making a certain measurement is a continuous rv X with the following cdf.

F(x) =

0		x	< ?2
1 2 + 3 32 4x ? x3 3		?2	? x ? 2
1		2	? x

a) Compute P(x < 0 )

b) Compute P(-1 < x < 1) ( Round your answer to four decimal places)

c) Compute P(0.4 < x). (Round your answer to four decimal places)

d) Evaulate f(x) by obtaining F'(x).

f(x) = F'(x) =

e) Compute .