3. A communication system consists of n components, each of which will, independently, function with probability p. (a) Let X, denote the number of components working in an n-component system. What is...

Extracted text: 3. A communication system consists of n components, each of which will, independently, function with probability p. (a) Let X, denote the number of components working in an n-component system. What is the probability distribution of X,? (b) The total system will be able to operate effectively if at least one-half of its components function. For what values of p is a 5-component system more likely to operate effectively than a 3-component system?