Unformatted text preview: x . Sketch F X ( x ). (vi) (2 pts.) Find the value b such that 4 P [ X ≤ b ] = P [ X > b ]. (vii) (4 pts.) Explain how, with the help of a fair coin, you can use the random variable X to generate random variable Y with pdf proportional to the function f ( x ) = ( | x | , | x | ≤ 1 | x |-2 , | x | > 1 What is the constant of proportionality, i.e., the ratio f Y ( · ) /f ( · )?...
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- Fall '05
- Probability theory, pts, probability density function