Question 4: A communication system consists of n components, each of which will function independently with probability p. The total system will be able to operate effectively if at least one-half of its components function. Let X be the number of functioning components, a) What is the distribution of random variable X? b) For what values of p is a 5-component system more likely to operate effectively than a 3- component system? c) Calculate E[X] and Var(X).

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