An insurance policy reimburses a loss up to a benefit limit of 10. The policyholder’s loss, Y, follows a distribution with density function:

What is the expected value of the benefit paid under the insurance policy? Choose one of the following.

(a) 1.0

(b) 1.3

(c) 1.8

(d) 1.9

(e) 2.0

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f(y) = 2 J 0 for y > 1 otherwise.