You Roll a Die 5 Times For 1 ≤ I≤ J≤ 5 Find Cov(Xᵢ,Xⱼ)

Short Answer

You roll a die 5 times. Let $X _ { i } = \left\{ \begin{array} { l l } 1 & \text { the } i ^ { \text {th } } \text { roll is even } \\0 & \text { elsewhere }\end{array} \right.$ For 1 ≤ i≤ j≤ 5 find Cov(Xᵢ,Xⱼ).