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Let Y have the density function given by a Find c.b Find
Chapter 4, Problem 18E(choose chapter or problem)
Let Y have the density function given by
\(f(y)=\left\{\begin{array}{ll}
.2, & -1<y \leq 0 \\
.2+c y, & 0<y \leq 1 \\
0, & \text { elsewhere }
\end{array}\right.\)
a Find c.
b Find \(F(y)\).
c Graph \(f(y)\) and \(F(y)\).
d Use \(F(y)\) in part (b) to find \(F(-1)\), \(F(0)\) and \(F(1)\).
e Find \(P(0 \leq Y \leq .5)\).
f Find \(P(Y>.5 \mid Y>.1)\).
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QUESTION:
Let Y have the density function given by
\(f(y)=\left\{\begin{array}{ll}
.2, & -1<y \leq 0 \\
.2+c y, & 0<y \leq 1 \\
0, & \text { elsewhere }
\end{array}\right.\)
a Find c.
b Find \(F(y)\).
c Graph \(f(y)\) and \(F(y)\).
d Use \(F(y)\) in part (b) to find \(F(-1)\), \(F(0)\) and \(F(1)\).
e Find \(P(0 \leq Y \leq .5)\).
f Find \(P(Y>.5 \mid Y>.1)\).
Step 1 of 7
For the given information, the density function of Y is given by,
\(f\left( y \right) = \left\{ \begin{array}{l}0.2,\;\;\;\;\;\;\;\; - 1 < y \le 0\\0.2 + cy\;\;\;\;0 < y \le 1\\0,\;\;\;\;\;\;\;\;\;\;\;{\rm{Otherwise}}\end{array} \right.\).
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