System simulation..

Please solve step by step and with formula

In example 2.11, the only way to have a lead time demand of 3 or 4 is to have a lead time of one day and a demand of 3 or 4. The probability of that happening is 0.36(0.20+0.35) =0.198. Using this logic, what is the probability of having lead-time demand equal 11 or 12? What is the probability of having it equal 18? (Use computation, not simulation) Reference Example: 2.11 Example 2.11: Lead-Time Demand A firm sells bulk rolls of newsprint. The daily demand is given by the following probability distri- bution: Daily Demand (Rolls) 3 4 5 6 Probability 0.20 0.35 0.30 0.15 B Table 2.27 Simulation Table for Lead-Time Demand D E F Simulation Table G Demand Day2 5 Cycle 1 2 3 4 5 on on on 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 6 Demand Day1 3 4 3 4 4 3 6 5 5 4 4 5 4 6 3 5 4 Lead Time 2 1 2 3 3 1 1 2 2 3 1 1 3 1 1 2 2 3 3 2 8 9 10 11 12 13 14 15 16 17 18 19 20 3 3 Demand Lead Time Day3 Demand 8 4 8 4 13 6 15 3 6 11 8 5 12 4 5 14 6 3 8 10 5 14 6 13 11 4 3 6 5 3 6 The lead time (the number of days from placing an order until the firm receives the order from he supplier), is a random variable given by the following distribution: Lead Time (Days) 1 2 3 Probability 0.36 0.42 0.22 Table 2.27 shows the simulation table, taken from Example2.11LeadTimeDemand.xls. One feature of this simulation, different from previous ones, is that the number of random demands generated in one cycle is itself random. If a lead time of 2 days is generated, then two random demands are generated and summed, if the lead time is 3 days, then three random demands must be generated and summed