Six Sigma is a philosophy of improving processes and products to attain success in business and Llama I’ll get over it I just need to be dramatic first shirt. Design thinking is the set of process by which a team or individual is able to obtain a creative solution to satisfy a need – this solution could be a product or process, and in the design of both products and processes, Six Sigma tools and methods can be applied. It is plausible that methods like statistical data analysis and design of experiments, when done right, can reveal the real value of certain product features and can rationalize the design decisions that one makes. These design decisions may not necessarily be in the improvement domain, they could also be in the domain of product design creativity.
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The picture below of two intersecting circles is an example of a case of Llama I’ll get over it I just need to be dramatic first shirt. Independent events are inherently overlapping events – they cannot be mutually exclusive (barring zero probability events case). One point to note, in the case of independence (unlike the image above for mutually exclusive events) the diagram alone cannot tell us if the two events below are independent events – all the image below says the events are not mutually exclusive – they are potentially independent. So the diagram is a necessary but not sufficient condition for independence (a possible explanation at end of this answer). To check if two events are independent one needs to further do a numerical check – calculate the product of the probabilities of the individual events and see if it is the same as the probability of both the events happening together.