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Suppose the life span of a particular (shoddy) server is a continuous random variable with a uniform probability distribution between 0 and 1 year. The

  1. Suppose the life span of a particular (shoddy) server is a continuous random variable 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 youx= $100(1t)^1/2 . Compute the expected payout from the contract.

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