Suppose that for a particular computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table. 23 4 567 8 0.29 0.13 0.01 0.01 x P(x) 12 0.04 0.09 0.14 0.29 (a) Find the mean value of x (the mean number of systems sold). 4.18 (b) Find the variance of x. X Find the standard deviation of x. (Round your answer to four decimal places.) X How would you interpret these values? The variance of x is the typical deviation of the number of systems sold in a month from the mean number of systems sold in a month. The standard deviation of x is the typical deviation of the number of systems sold in a month from the mean number of systems sold in a month. (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?

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