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

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(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*(

*< −1.6 or*

*X**> 1.6) (Round your answer to four decimal places.)*

*X*Revelant knowledge

Probability Density Function: Probability density functions of two variables of random is referred to by its name, *jointly probability density* while the cumulative function for joint probability density is called *the copula*. When the two variables are not dependent on each one and the joint density can be described as the result of the marginal densities.

Answer:(a)