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in a data network, packets containing 160 bits are transmitted over a channel with a error...

in a data network, packets containing 160 bits are transmitted over a channel with a error probability of 0.01. if a packet is received in error , i.e containing one or more bit errors, the receiver asks for retransmission. what is the average numbe rof transmissions per packet?

Math   Statistics-And-Probability   
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Answer #1

The total number of bits = 160

Error probabillity = 0.01

This means that there is 0.01 chance of an error and so there will be no transmission.

No error probability = 1 - error probability

= 1 - 0.01

No error probability = 0.99

Total bits = 160

So if each bit has 0.99 chance of being transmitted, then a total of 160 bits that is 1 packet will have the expected value

=160 * 0.99

=158.4

average numbe rof transmissions per packet is 158.4.

This is can be treated as binomial event where two outcomes are error and no error

p(no error) = 0.99 n = 160

E(X) = np = 0.99 * 160

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