# Tutor profile: Mian N.

## Questions

### Subject: Quality Management

What is total quality management (TQM)? Is it something you can install, like a refrigerator? How do you know TQM when you see it?

Explanation: - Total Quality Management: Total Quality Management refers to be a process of regular process of removing the mistakes or errors in the Manufacturing process, which include SCM - Supply Chain Management, elevate the customer experience. Total Quality Management will enhance the training process for employees and it will make it quick throughout the duration. Total Quality Management's one of the important factor is that its approach to the long-term success of customer satisfaction. It involves all the members of the organization to maintain the best quality standard at each and every function. - You can set it in the management system so that it can achieve the long-term customer satisfaction goals. To better the customer satisfaction goals over a long time, you can set it in each and every function of management and manufacturing process all over. - There will be the total quality management division over the four categories in the plan, do, check, act process that will be found in the management process for the employee. There will be quality check in the management and manufacturing process of the organization.

### Subject: Linear Programming

What is linear programming and how can it be used to solve real-world problems in your workplace?

Linear Programming (LP) the scientific way to deal with the issue of dispensing constrained assets among contending exercises in an ideal way. In particular, it is a method used to augment income, Contribution Margin (CM), or benefit work or to minimize a cost capacity, subject to limitations. Straight programming comprises of two essential fixings: (1) target capacity and (2) limitations, both of which are direct. In planning the LP issue, the initial step is to characterize the choice variables that one is attempting to understand. The following step is to plan the target capacity and limitations as far as these choice variables. For instance, expect a firm delivers two items A and B. Both items require time in two handling divisions get together and wrapping up. It is a numerical model for choices with a substantial number of options. LP is regularly used to either expand benefit or minimize costs in an assembling procedure with differing levels of inputs.linear writing computer programs are just a truly perfect technique for utilizing math to discover how to best accomplish something like the amount of stuff to purchase or make. It includes something many refer to as imperatives which is an arrangement of direct imbalances. Essentially when you need to minimize cost and expand benefit now and then the best way to do that precisely is explaining it as a direct programming issue. the procedure of taking different straight programming unequal sums that identify with particular circumstances is called direct programming. Finding the best reachable quality with the given conditions is the thing that you endeavor to illuminate for. This is the field of math that is worried about minimizing or expanding direct capacities that have imperatives. To take care of for issues of straight programming, you have to meet the limitation prerequisites in a way that minimizes or boosts the goal capacities. It is critical to take care of these sorts of issues and in numerous fields like financial matters, business, and operations examination, is entirely valuable. Circumstances that profit by direct programming issues incorporates material use choices quality control choices buying choices, investigation of oil stores liquid mixing issues item blend choices, promoting, physical dispersion choices, warehousing choices generation arranging and long-range arranging. This draws in the consideration of numerous rehearsing officials since numerous issues that accompany overseeing organizations more often than not need to do with settling on major choices under impediments or requirements. Since direct programming manages upgrading goals sought in circumstances that include constraints, it doesn't come as quite a bit of an astonishment that this specific math condition comes into a great degree helpful particularly in the zone where enormous business is concerned. Linear programming considers applicable variables of a circumstance and their impact on the coveted result, and any limitations, for example, the accessibility of a restricted asset. In actuality, circumstances, straight programming may be reached out to incorporate extra astoundingly up. Genuine illustrations utilizing direct programming include: Enhancing the operations of transportation systems to guarantee the most productive examples of transporting merchandise and individuals; in its most fundamental sense, discovering what trains ought to go where and when. Minimizing creation costs at an assembling office by deciding the ideal parity of generation as indicated by assets and client request. Amplifying an organization's benefits by deciding the ideal blend of exercises to acquire the most cash at any rate cost. The diminishing danger in a conceivably dangerous operation by deciding the ideal blend of human and different assets.

### Subject: Statistics

1. It is known that machines A, B, and C work independently, and their working probabilities are 0.7,0.8 and 0.9 in a day, respectively. Find the probability that at most one machine does not work in a day. 2. It is known that 4 tickets among 10 lottery tickets can win the lottery . Now, everyone is permitted to buy a ticket. Find the probability that (1) among the first three persons who bought tickets only one person will win the lottery; (2) the second person who bought tickets will win the lottery.

Question-1 Probability that at most one machine does not work in a day; = Probability that all machines work + Probability that 1 machine does not work = 0.7*0.8*0.9 + 0.7*0.8*(1-0.9) + 0.7*0.9*(1-0.8) + 0.9*0.8*(1-0.7) = 0.504 + 0.056 + 0.126 + 0.216 = 0.902 Therefore, 0.902 is the required probability here. Question 2: 1) Among the first 3 persons buying the ticket, only 1 wins the lottery. Therefore, 1 ticket is selected from the 4 winning tickets and rest 2 from the losing 6 tickets. Therefore the required probability would be: = \frac{\binom{4}{1}\binom{6}{2}3!}{\binom{10}{3}3!} = \frac{4*15}{120} = 0.5 In the above expression, we are selecting 1 ticket out of the 4 winning tickets and 2 out of the 6 nonwinning ones. 2) The probability that the second person wins the ticket: = Probability that the second person wins the ticket given that first person does not win the ticket + Probability that the second person wins the ticket given that the first person wins the ticket : = \frac{6}{10}*\frac{4}{9} + \frac{4}{10}*\frac{3}{9} = \frac{36}{90} = 0.4 Therefore 0.4 is the required probability here.

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