$($a$)$ Determine measures of the average and variability of the number of orders per hour.

$($b$)$ On average, what is the number of items per hour that is fulfilled by SAG? $)$

$($c$)$ Discuss if the current allocation of associates for order processing by SAG is appropriate.

$($d$)$ Find measures of the average and variability of the delivery time per order.

$($e$)$ Construct an appropriate control chart to analyze the order processing times and comment on the current process.

$($f$)$ Assume, for the time being, that orders after processing do not have to wait for delivery to begin. What is the mean total time for order processing and delivery for an order? What is the standard deviation of the total processing and delivery time for an order?

$($g$)($Suppose customer expectations are that orders should be delivered within $90$ minutes of placing an order. Assuming that total time for order processing and delivery is normally distributed, what proportion of the orders will not meet customer expectations?