MATH 107 Fall 2009 Midterm 1 Solutions - 1 Solve the linear system x y 2z = 3 2x 2y z = 5 x 11y7z = 0 Use Gauss-Jordan elimination 1 1 2 3 1 1 2 3 2 2 1

MATH 107 Fall 2009 Midterm 1 Solutions - 1 Solve the linear...

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2. Suppose you are playing a dart game where the number X of points youobtain after a throw is a continuous random variable whose value dependson how close to the center of the board the dart hits. Suppose the densityfunction of X is of the formf(x) =c1 +x:0x5;0:otherwise.(a) Find the value ofcso thatf(x) is a density function as claimed.

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