question archive A web server hosting company advertises 99

A web server hosting company advertises 99

Subject:EconomicsPrice:3.87 Bought7

A web server hosting company advertises 99.999 percent guaranteed network uptime.

 (a)How many independent network servers would be needed if each has 96 percent reliability? (Round your answer up to the nearest whole number.)

  Network servers   

(b)How many independent network servers would be needed if each has 87 percent reliability? (Round your answer up to the nearest whole number.)

 

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Answer:

(a) 1-0.04^n = 0.99999

0.04^n = 0.00001

n = 3.58

Answer: 4 network servers

 

(b) 1-0.13^n = 0.99999

0.13^n = 0.00001

n = 5.64

Answer: 6 network servers