PLEASE PROVIDE FORMULAS AND HOW TO ESTIMATE $\backslash$lambda AND $\backslash$mu A product arrives according to a Poisson distribution at the rate of one every $45$ minutes. The product requires two tandem operations attended by one worker. The first operation is uses a semi$-$automatic machine that completes its cycle in exactly $28$ minutes. The second operation makes adjustments and minor changes, and its time depends on the condition of the product when it leaves operation $1.$ Specifically, the time of operation $2$ is uniform between $3$ and $6$ minutes. Because each operation requires the complete attention of the worker, a new item cannot be loaded on the semiautomatic machine until the current item has cleared operation $2.$ a$)$ Determine the number of items waiting for processing on the semiautomatic machine. b$)$ What is the percentage of time the worker will be idle? c$)$ How much time is needed, on average, for an arriving item to clear operation $2?$