MAT 133:3.2 WS 3 p.L 2. In a large sample of customer accounts, Consumers Energy determined that the average number of days between when a bill was sent out and when the payment was made is 32 days with a variance of 49 days? Assume the data to be approximately bell-shaped. a) Compute the standard deviation of days for a bill to be paid. (Include units) b) Draw a reasonable picture of the distribution with parameters and percentages properly marked and labeled, up to 3 standard deviations from the mean. c) Roughly 68% of all customer accounts are paid between what time frames? d) Estimate the percentage of customer accounts for which payment is made between 32 and 53 days. e) Estimate the percentage of customer accounts for which payment is made in 46 days or less. f) Would it be unusual for a customer to pay in less than 18 days? Explain