The repair time, in hours, for a certain type of laptop is a continuous variable with density function

(i) What is the expected time to repair a laptop of this type when it breaks down?
(ii) If the repair cost depends on the time that the repair takes and, when this time is x hours, the associated cost in dollars is estimated to be 30 + 5 √
x, find the expected cost for each repair.

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f(x) = { 1/2, 0x2, 0, elsewhere.