What is the probability that at least one packet is resent?

 

A congested computer network has a 1%chance of losing a data packet that must be resent, and packet losses are independent events. An e-mail message requires 100 packets.
a. What is the distribution of the number of packets in an e-mail message that must be resent? Include the parameter values.
b. What is the probability that at least one packet is resent?
c. What is the probability that two or more packets are resent?
d. What are the mean and standard deviation of the number of packets that are resent?
e. If there are 10 messages and each contains 100 packets, what is the probability that at least one message requires that two or more packets be resent?

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