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Suppose Y is an random variable. If P(a<Y<2a)=0.16 and the median of Y is 5, what...

Suppose Y is an random variable. If P(a<Y<2a)=0.16 and the median of Y is 5, what is a? Note: There may be more than one solution. Report all.

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Expert Solution

.................... PDF of Y

.................. CDF of Y

The Median of Y is 5 . Median divides the distribution into two equal halves .

Thus Median implies :

We are given that :

............We want the value of a ...................

Let :  

milcah answered 5 months ago
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