Question

In: Math

1a. Suppose I have a gaming web site that can only handle 10 players at the...

1a. Suppose I have a gaming web site that can only handle 10 players at the same time, or else my server will crash. I have 50 users. Each user is online and playing the game 20% of the time. What is the probability that my server will crash. 1b Now suppose that it is acceptable if the crashing probability is less than 1%. What is the maximum number of users my server can handle? 1c. What is the maximum number of users I can support if my server is twice as large and can handle 20 simultaneous players?

Expert Solution

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1a. Suppose I have a gaming web site that can only handle 10 players at the same time, or else my server will crash. I have 50 users. Each user is online and playing the game 20% of the time. What is the probability that my server will crash.

ANS ::-

The probability that user is online and playing the game: p=0.2

Total number of user: n=50

a) The server will crash if more than 10 users are playing the game

the probability that my server will crash =

1b Now suppose that it is acceptable if the crashing probability is less than 1%. What is the maximum number of users my server can handle? 1c. What is the maximum number of users I can support if my server is twice as large and can handle 20 simultaneous players?

ANS ::-

mean =np=50*0.2=10

standard deviation =

=17 (rounded up)

the maximum number of users my server can handle=17

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milcah answered 1 year ago

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