- #1
bennyska
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Homework Statement
Let c be a constant, and define [tex]Y_{i}=1[/tex] if [tex]X_{i}\leq[/tex] c and zero otherwise. Find a statistic that is a function of [tex]Y_{1},Y_{2},...Y_{n}[/tex] and also unbiased for [tex]F_{X}(c)=\Phi\left(\dfrac{c-\mu}{\sigma}\right).[/tex]
Homework Equations
The Attempt at a Solution
not even sure how to being. i want some function of y_1,...,y_n, call it a, such that E(a)=phi((c-mu)/sigma)... but, yeah... i have no idea where to begin.
also, sorry for my crappy latex