A group insurance covers the medical claims of the employees of a small company. The value, Y of the claims made in one year has the following cumulative distribution.

F_Y(u) = 0 u<=0

= u^2/50 0<u<=5

= -1/50 u^2 +2/5u -1 5<u<=10

= 0 u>10

Find conditional expectation of Y given that Y exceeds 1

Ie E(Y|Y>1)

Could someone illustrate this solution by first finding the density function first.

Thank you.

F_Y(u) = 0 u<=0

= u^2/50 0<u<=5

= -1/50 u^2 +2/5u -1 5<u<=10

= 0 u>10

Find conditional expectation of Y given that Y exceeds 1

Ie E(Y|Y>1)

Could someone illustrate this solution by first finding the density function first.

Thank you.

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