In a cellular phone syst ern, a rnobile phone rr1ust be

Chapter 2, Problem 2.1

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In a cellular phone syst ern, a rnobile phone rr1ust be paged to receive a phone call. However, paging atternpts don't alvva:ys st1cceed because the rr1obile phone rnay not receive t he paging signal clearly. Consequent ly, t 11e system v.rill page a phone up to three tirnes before giving up. If t he results of all paging atterr1pts are indeper1der1t and a single pagir1g att err1pt succeeds -vvit h probability 0 .8, sketch a probability tree for t his experirnent and fir1d t he probability P [ F] t hat t he pl1one receives t he paging signal clearly.

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