A company operates a network of 150 computers. While performing a certain task, computers generate data. The amount of data generated by each computer is uniformly distributed between 0 and 50 MB, and the amounts of data generated by different computers are assumed to be independent.
a) What is the probability that the total amount of data generated by the network exceeds 3.6 GB? (approximate 0.8032)
b) Notmore than what amount of data will be produced by the network with 99%probability? (4162)