3.3.3 When a conventional paging system transmits a message, the probability that the message will be received by the pager it is sent to is p. To be confident that a message is received at least once, a system transmits the message n times.

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Chapter1: Combinatorial Analysis
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Probability and Stochastic Process
g has no red M&Ms?
er
3.3.3 When a conventional paging system
transmits a message, the probability that
the message will be received by the pager
it is sent to is p. To be confident that a
a
message is received at least once, a system
transmits the messagen times.
ly
(a) Assuming all transmissions are inde-
pendent, what is the PMF of K, the
number of times the pager receives the
en
e,
same message?
(b) Assumep 0.8. What is the minimum
value of n tlhat produces a probability
of 0.95 of receiving the message at least
on
set
ge
its
ain
oice
pair of Tair dice until
Transcribed Image Text:g has no red M&Ms? er 3.3.3 When a conventional paging system transmits a message, the probability that the message will be received by the pager it is sent to is p. To be confident that a a message is received at least once, a system transmits the messagen times. ly (a) Assuming all transmissions are inde- pendent, what is the PMF of K, the number of times the pager receives the en e, same message? (b) Assumep 0.8. What is the minimum value of n tlhat produces a probability of 0.95 of receiving the message at least on set ge its ain oice pair of Tair dice until
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