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There are two servers. Hiba has just started service at server 1, while Daniella has just...

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Statistics

There are two servers. Hiba has just started service at server1, while Daniella has just started service at server 2. Hiba’sservice time at server 1 is exponentially distributed with mean 1/4hour. Daniella’s service time at server 2 is exponentiallydistributed with mean 1/6 hour. Daniella’s service time and Hiba’sservice time are independent.

(a) What is the probability that Hiba finishes service beforeDaniella?

(b) What is the expected time in minutes until the first personfinishes?

(c) What is the expected time in minutes until the second personfinishes

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