question archive The error involved in making a certain measurement is a continuous rv X with the following pdf

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

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

f(x) =

leftbrace2.gif
0.09375(4 ? x2)     ?2 ? x ? 2
0     otherwise

(a) Sketch the graph of f(x).

(b) Compute P(X > 0).


(c) Compute P(?1 < X < 1). (Enter your answer to four decimal places.)


(d) Compute

P(X < ?1.7 or X > 1.7).

(Round your answer to four decimal places.)

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