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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) =

leftbrace4.gif
     0      x < ?2
1
2
+
3
32
leftparen1.gif
4x ?
x3
3
rightparen1.gif
  ?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 mu tilde.

pur-new-sol

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