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Let p ≤ 1 be the fraction of machines in a network that are big-endian; the remaining 1 - p fraction are little-endian. Suppose we choose two machines at random and send an int from one to the other. Give the average number of byte-order conversions needed for both big-endian network byte order and receiver-makes-right, for p = 0.1, p = 0.5, and p = 0.9. Hint: The probability that both endpoints are big-endian is p 2 ; the probability that the two endpoints use different byte orders is 2p(1 - p).

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