An insurance policy reimburses dental expense, X, up to a maximum benefit of 250. The probability density

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An insurance policy reimburses dental expense, X, up to a maximum benefit of 250. The probability density function for X is

where c is a constant. Calculate the median benefit for this policy. Choose one of the following.

(a) 161 

(b) 165 

(c) 173 

(d) 182 

(e) 250

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