Distributionshard
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Let be i.i.d. standard normal random variables. Let , where is the indicator function, and note that the standard normal CDF satisfies . Let . Using the normal approximation with a continuity correction, find the approximate value of expressed in terms of the standard normal CDF .
Let be i.i.d. standard normal random variables. Let , where is the indicator function, and note that the standard normal CDF satisfies . Let . Using the normal approximation with a continuity correction, find the approximate value of expressed in terms of the standard normal CDF .