GATE | GATE-CS-2015 (Mock Test) | Question 8

An ISP has a link of 100Mbps which is shared by its subscribers. Considering the fact that all of its subscribers are active 50% of the time and the probabilities of being active are independent, the ISP has promised 25 Mbps to its 6 subscribers. What is the probability that any subscriber gets degraded service (less than promised speed). (A) 1/32 (B) 5/16 (C) 1/2 (D) 7/64
Answer:(D)
Explanation: The above question is an example of Binomial Experiment. Any user can be either Online(O) or Offline(F) Let be the Random Variable denoting the number of users online. The users get degraded service when or ,
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