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A random variable X has probability density function f (x) = cx for 0 < x < 1/2 and f (x) = 0
otherwise, where c is a constant.
If X1,X2, are independent and identically distributed with the same distribution as X, then use the
Central Limit Theorem to find an approximation to Pr(i=1144Xi50) You may express your answer
in terms of the standard Normal cumulative distribution function .

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  • 1. A random variable X has probability density function f (x) = cx for 0 < x < 1/2 and f (x) = 0 otherwise, where c is a constant. If X1,X2, are independent and identically distributed with the same distribution as X, then use the Central Limit Theorem to find an approximation to Pr(i=1144Xi50) You may express your answer in terms of the standard Normal cumulative distribution function .