For a $10 monthly fee, a gas company guarantees customers complete service. Records show that of their20,000 customers, 1000 customers required one service callin a typical month, and 200 required two service calls. No customer required more than two service calls. Each service call costs the gas company $80.(a) Let X be the random variable defined as the profit (per month) that the gas company makes on a randomly chosen customer. Construct the probability distribution of X.[4marks](b) Calculate the mean and standard deviation of X, and interpret the values of these parameters.