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a) What is a random variable?

b) What is the difference between a combination and a permutation? Be precise.

c) What is the mean and standard deviation for a uniform continuous distribution with minimum value 5 and maximum value 15?

d) Repeat (a) for a uniform discrete distribution.

e) What is the mean and standard deviation for an exponential distribution with mean rate (?) of 10.0?

f) Assume that the probability of a server failing over night is p = 0.1. If you have 10 servers, what is the probability that 2 servers will have failed over night?

g) Assume that the probability of a server failing over night is p = 0.1. If you have 1000 servers, what is the probability that 100 servers will have failed over night?

h) Given a Poisson process with mean rate 20 arrivals per second, what is the probability of having 15 arrivals in any one second?

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Computer Engineering, Engineering

Category:- Computer Engineering
Reference No.:- M91078409

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