There are three computers in a network, all connected to a fourth central computer as shown: O 2 3 Each connection has probability p of being broken. A computer is offline if all connections to it are broken. Let Xi = 1 if computer i is offine, and 0 otherwise, for i = 1, 2, 3, 4. The following information is known: EX]] = Pr (X1 = 1) = p Var (X1) = p -p What is the variance of Z, the number of offline computers? Provide your answer as a function of p. (note: Use ^ for exponents, and * and / for multiply and divide. you can display your function using the symbol immediately to the right of the input. )