Probstat/week5 practice 1
thoretical exercises
1. For a random variable X with variance Var(X). For a constant a, prove that .
2. For a non-negative discrete random variable that takes on values 0,1,2,..., show that .
1. For a random variable X with variance Var(X). For a constant a, prove that .
2. For a non-negative discrete random variable that takes on values 0,1,2,..., show that
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IP address: 158.108.32.49![{\displaystyle \mathrm {E} [X]=\sum _{i=0}^{\infty }P{X\geq i}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2b6e6f3b8f275f2d4203f5c96da5c9c9a4e4ca0b)
