Question 3 (7 marks) Marks The manager of a large computer network has recorded data concerning the number of interruptions per day. The results are shown in the following table: Number of interruptions (x) P(x) x P(x) x2 P(x) 0 0.32 1 2 0.18 3 0.08 4 0.04 5 0.03 Total (i) Complete the discrete probability distribution table. [2] (ii) What is the probability that the computer network will experience exactly 1 interruption per day? [1] (ii) What is the probability that the computer network will experience at least 3 interruptions per day? [1] (iv) Calculate the mean number of interruptions experience by the computer network per day. [1] (v) Calculate the standard deviation of the above probability distribution correct to 2 decimal places. [2]