A manufacturer’s annual losses follow a distribution with density function

To cover its losses, the manufacturer purchases an insurance policy with an annual deductible of 2. What is the mean of the manufacturer’s annual losses not paid by the insurance policy? Choose one of the following.

(a) 0.84 

(b) 0.88 

(c) 0.93 

(d) 0.95 

(e) 1.00

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f(x) 2.5(0.6) 2.5 x3.5 0 for x > 0.6 otherwise.