congested computer network has a 0.002 probability of

Chapter 2, Problem 195SE

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QUESTION:

A congested computer network has a 0.002 probability of losing a data packet, and packet losses are independent events. A lost packet must be resent.

(a) What is the probability that an e-mail message with 100 packets will need to be resent?

(b) What is the probability that an e-mail message with 3 packets will need exactly 1 to be resent?

(c) If 10 e-mail messages are sent, each with 100 packets, what is the probability that at least 1 message will need some packets to be resent?

Questions & Answers

QUESTION:

A congested computer network has a 0.002 probability of losing a data packet, and packet losses are independent events. A lost packet must be resent.

(a) What is the probability that an e-mail message with 100 packets will need to be resent?

(b) What is the probability that an e-mail message with 3 packets will need exactly 1 to be resent?

(c) If 10 e-mail messages are sent, each with 100 packets, what is the probability that at least 1 message will need some packets to be resent?

ANSWER:

Solution:

Step 1 of 4:

It is given that the probability of losing a data packet by a computer network is 0.002 and a lost packet must be resent.

Also, it is given that packet losses are independent.

Using this we need to find the required values.


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