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(Solved): If the cumulative distribution function of random variable \( U \) is \[ F_{v}(u)=\left\{\begin{ar ...



If the cumulative distribution function of random variable \( U \) is
\[
F_{v}(u)=\left\{\begin{array}{ll}
0 & u<-5 \\
(u+5)

If the cumulative distribution function of random variable \( U \) is \[ F_{v}(u)=\left\{\begin{array}{ll} 0 & u<-5 \\ (u+5) / 8 & -5 \leq u<-3 \\ 1 / 4 & -3 \leq u<3 \\ 1 / 4+3(u-3) / 8 & 3 \leq u<5 \\ 1 & u \geq 5 \end{array}\right. \] Please answer questions 1 and 2 Q1) \( E[U]= \) A) \( 1.5 \) B) \( 1.96 \) C) 0 D) 2 Q2) The value of \( a \) such that \( P[U \leq a]=1 / 2 \) is A) \( 1.96 \) B) \( 3.667 \) C) 2 D) \( 1 / 2 \)


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Ans: as we know probability distribution function
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