Suppose the sequence {an}1 converges to L and that the set {an |n e N} has...

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Prove that if a sequence converges in distribution to a constant value, then it also converges in probability. This one together constitute an alternative proof to the weak law of large numbers.
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As in Example 2.1, camera recycle times might use the sample space \(S=R^{+}\), the set of positive real numbers. Let \[ E_{1}=\{x \mid 10 \leq x <12\} \quad \text { and } \quad E_{2}=\{x \mid 11 0\}...