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

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
80
8x −
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(0.9 < X). (Round your answer to four decimal places.)


(d) Evaluate f(x) by obtaining F '(x).
f(x) = F '(x) =



(e) Compute .

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