Question: MATH 2030 - Final Exam 7 . A computer tries every millisecond to send one of a sequence of packets over a page 8. network

 MATH 2030 - Final Exam 7 . A computer tries every

MATH 2030 - Final Exam 7 . A computer tries every millisecond to send one of a sequence of" packets" over a page 8. network . Every attempt either succeeds or fails , independently of every other attempt . If an attempt fails , the computer tries again with the same packet , a millisecond later . If the attempt succeeds , then in the next millisecond the computer goes on to the next packet in the sequence and tries to send it . Packets get through with the same probability on each attempt . We assume that traffic is heavy on the network , and therefore that it takes on average 6 attempts before a given packet will get through . ( a ) 15] What is the probability that the first packet will get through on precisely the Ith attempt ? ( b ) 15] What is the ( exact ) probability that precisely 3 packets will get through in the first 15 milliseconds ?" ( C ) [ 10 ] What is the ( approximate ) probability that at least 150 packets get through in the first second ? ( Note : there are 1, 000 milliseconds in a second .]

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