Let X;, i E N be independent Bernoulli random variables with parameter 0 < p < 1. Find a single event A that has probabi

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Let X I E N Be Independent Bernoulli Random Variables With Parameter 0 P 1 Find A Single Event A That Has Probabi 1 (20.56 KiB) Viewed 40 times

Let X;, i E N be independent Bernoulli random variables with parameter 0 < p < 1. Find a single event A that has probability 1/2, regardless of the value of p and a second event B that always has probability 1/3. Use the o-algebra axioms to show that A and B are actually events. Hint: The function f(10, 11, 12, 13, ...) = (L1, 10, 13, 12, ...) preserves probabilities and f(f(x)) = r.