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The total capacity of HDFS in this configuration is TB. Assume that Data Node #1 is writing the file input1.txt with a total size of

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The total capacity of HDFS in this configuration is TB. Assume that Data Node \#1 is writing the file "input1.txt" with a total size of 140GB. The total network traffic incurred on all data nodes while writing this file is GB. The total number of block replicas stored on all data nodes for the file "input1.txt" is Assume that Data Node \# 1 is reading the file "input1.txt" from HDFS. The total network traffic incurred on Data Node \#1 is GB. Assume that Data Node \#2 is reading the file "input1.txt" from HDFS. The expected total network traffic incurred on Data Node \#2 is GB. Now, the Name Node is writing a second file "input2.txt" with size 30GB. On average, there are block replicas stored on each Data Node. (Bonus) Assume that we pick two blocks at random, one from "input1.txt" and another from "input2.txt", what is the probability that at least one of the Data Nodes \#2-\#15 contains a replica of both blocks? The probability is

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