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Find the value of p that maximizes this expression. This is not a good solution however because this would mean that the probability of transmitting is 1, so this would causes nothing to go through, so this cannot maximize the expression. Assume each node has an infinite number of packets to send. Each node attempts to transmit in each slot with a probability p. The first slot is numbered slot 1, the second 2, and so on. If we look at the possibility for failing four times, then succeeding once, we get this expression.

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Looking for video lessons that will help you in your Common Core Grade 5 Math classwork or homework? The Lesson Plans and Worksheets are divided into six modules. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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