Question

You are distributing 1000 jobs to 7 servers (we are only interested in how many jobs...

You are distributing 1000 jobs to 7 servers (we are only interested in how many jobs each server gets). You pick a distribution uniformly at random.

(a) What is the probability that server #1 gets at least 300 jobs?

(b) What is the probability that there is at least one server that gets at least 300 jobs?

(c) What is the probability that there is no server that gets at least 300 jobs?

Discrete Math II

(d) Assume server #1 gets at least 400 jobs. What is the probability that server #2 gets at least 300 jobs?

Math   Statistics-And-Probability   
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