Question: 38. LetI mage be independent and identically distributed continuous random variables with distribution function F, and meanI mage. Let Image be the values arranged in

38. LetI mage be independent and identically distributed continuous random variables with distribution function F, and meanI mage. Let Image be the values arranged in increasing order. That is, forI mage, Image is the ith smallest ofI mage.

(a) Find Image.

(b) Let Image. What is the distribution of N.

(c) If m is the median of the distribution (that is, if Image

), find .

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