answer all questions with explanation

Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. X 1 2 3 4 5 6 7 8 p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01 (a) Find the mean value of x (the mean number of systems sold). X (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is . A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean