Please provide steps and explanations for how you solved this problem.

Suppose the life span of a particular (shoddy) server is a continuous random variable, 7, with a uniform probability distribution between 0 and 1 year. The server comes with a contract that guarantees you money if the server lasts less than 1 year. In particular, if the server lasts t years, the manufacturer will pay you 9(4) = $100(1 - 41/2. Let X = g( 7) be the random variable representing the payout from the contract. 1. (3 points) Compute the expected payout from the contract, AX) = Ag( 7)). Given the nature of the function, you might have to use integration by parts, or help from an integral solver