Ramjac Company wants to set up k independent file servers, each capable of running the company's intranet. Each server has average "uptime" of 98 percent. What must k be to achieve 99.999 percent probability that the intranet will be "up"?

k = 3

Explanation:

K independent file servers

Average "uptime" of each server = 98%

To achieve 99.99% probability by the intranet

given that each server has an uptime = 98%

For the intranet to achieve 99.99% probability we have to choose more than 2 servers ( i.e. 3 servers )  incase any of the server goes down.

As each server posses an uptime of 98% it is almost impossible for all 3 servers to go down at the same time hence value of K = 3

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