2. A factory manager collected data on the number of equipment breakdowns per day. From this data she derived the probability distribution shown in the table below: No. of breakdowns x Probability p ( x ) 0 0.80 1 k 2 0.05 a) Find the value of k . b) Determine the mean c) Determine the standard deviation of x . No. of breakdowns P robability x p ( x ) 0 0.80 1 k 2 0.05 .