Q7 Solutions

Q7 Solutions - E [ X ] . E [ X ] = Z 1 2 x 2 d x = 2 3 x 3...

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Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Fall, 2007) Quiz 7 Solutions (Wednesday, November 7) Suppose a rv X has support X = [0 , 1] and PDF f ( x ) = 2 x . Question 1. Give the CDF for X . Make sure to specify F ( x ) for x < 0 , x [0 , 1] , and x > 1 . F ( x ) = 0 , x < 0 R x 0 2 y d y = x 2 , 0 x 2 1 , x > 2 (1) Question 1. Find
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Unformatted text preview: E [ X ] . E [ X ] = Z 1 2 x 2 d x = 2 3 x 3 1 = 2 3 . (2) Question 2. Find the 100 p percentile ( p ) for p [0 , 1] . F ( ( p )) = p ( p ) 2 = p ( p ) = p. (3) www.ece.drexel.edu/faculty/sweber 1 November 7, 2007...
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