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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(1.5 < X). (Round your answer to four decimal places.)

(d) Evaluate f(x) by obtaining F '(x). f(x) = F '(x) = (e) Compute mu tilde.

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