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Q$1$

Suppose we have $5$ nodes using the slotted ALOHA random access protocol to share a channel. Each node transmits a packet in a slot with a probability as shown:

$\backslash$table$[[$Node number,Probability$],[1,0\mathrm{.}05],[2,0\mathrm{.}1],[3,0\mathrm{.}05],[4,0\mathrm{.}15],[5,0\mathrm{.}1]]$

$1\mathrm{.}1[4]$ What is the probability that no node transmits in a slot?

Probat