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In: Statistics and Probability

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

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

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

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

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

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