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A random variable or stochastic variable is a value that is subject to chance variation (i.e., randomness in a mathematical sense).
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Why convergence in probability is defined as convergence to R.V.?
Wikipedia defines convergence in probability as
A sequence ${X_n}$ of random variables converges in probability towards the random variable $X$ if for all ε > 0
$$\lim_{n\rightarrow\infty} P(|X_n-X|> …