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Math Help - A probability problem

  1. #1
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    A probability problem

    A WiFi server X transmitted messages to the outside world via two 1/O devices, A and B. X's traffic shaping mechanism sent 70% of messages via A and the rest via B. If the routes A and B have 25% and 10% of retransmissions, what is the reliability of X in terms of the number of trials to get a transmission success?
    -------------------
    My answer is:
    ( 70% x ( 1-25% ) ) + ( 30% x ( 1-10% ) ) = 0.795
    So, it needs 0.795 trial to get a transmission success.

    Is it correct? I am not sure for the answer, could anyone verify it for me, pls.
    Thank you!!
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  2. #2
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    I'm assuming you mean the expected number of trials to get a transmission success.

    The number of transmissions required a successful transmission can be modeled as a geometric distribution with success probability p = 0.795 as calculated by you. Then the expected number of transmission required for a successful transmission is 1/p = 1.258
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