Question

1. Suppose the number of messages arriving on a communication line seems to be describable by...

1. Suppose the number of messages arriving on a communication line seems to be describable by a Poisson Random Variable with an average arrival rate of 10 messages/second. Determine the following:

a. The probability that no messages arrive in a one second period.

b. The probability that 1 message arrives in a one second period.

c. The probability that 2 messages arrives in a one second period.

d. The probability that 3 messages arrives in a one second period.

e.The probability that 10 messages arrive in a one second period.

f. The probability that 4or more messages arrive in a one second period.

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