Question: 3. (30%) A congested computer network has a 1% chance of losing a data packet and packet losses are independent events. An e-mail message requires

3. (30%) A congested computer network has a 1% chance of losing a data packet and packet losses are independent events. An e-mail message requires 100 packets. a. (4%) What is the distribution of data packets that must be resent? Include the parameter values. b. (5%) What is the probability that at least one packet must be resent? c. (5%) What is the probability that two or more packets must be resent? d. (5%) What is the mean and standard deviation of the number of packets that much be resent? e. (4%) Can we use Poisson distribution to approximate it? Why? f. (7%) If there are 10 messages and each contains 100 packets. what is the probability that at least one message requires two or more packets be resent? Can we use Poisson distribution to approximate it this time

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