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Math Help - clearification on finding c in a continous random function

  1. #1
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    clearification on finding c in a continous random function

    f(y) = \left\{ \begin{array}{rcl}<br />
0.2 & \mbox{for} & -1 < y \leq 0 \\ <br />
\\<br />
0.2 + cy & \mbox{for} & 0 < y \leq 1 \\<br />
\\<br />
0 & \mbox{} & elsewhere<br />
\end{array}\right.

    I'm not sure exactly sure on how to find it, is it:

    1) \int^{0}_{-1} 0.2 \ \ dy + \int^{1}_{0} 0.2 + cy \ \ dy , or

    2) \int^{1}_{0} 0.2 + cy \ \ dy
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  2. #2
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    It is the first because the total measure must equal 1.
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