Black Belt in Lean Six Sigma

Thiago has a degree in Production Engineering, a graduate course in statistics and a degree in administration from the Federal University of Juiz de Fora (UFJF). Black Belt in Lean Six Sigma, worked with methodologies for cost reduction and process optimization at Votorantim Metais, subsequently joining MRS Logística as a trainee, where he held positions of manager and specialist in continuous improvement. With Microsoft Office Specialist (MOS) certification and ISO 9001 Auditor Lead Advisor, attended several companies in consulting projects, in addition to training and lectures related to Lean Six Sigma, Career Entrepreneurship in nationally renowned congresses such as ENEGEP (National Meeting of Production Engineering) and international as International Six Sigma Brazil congress. In the academic environment, he works as a professor of undergraduate and graduate courses in the areas of management and entrepreneurship. Thiago had the opportunity to participate in projects of several segments. Founder of the Voitto Group, he was selected in the Promessas Endeavor Program, having the opportunity to receive valuable mentoring to accelerate his business. He is currently a business mentor and dedicates himself to the executive front of Voitto, carrying with his team the vision of being the best online school of management in Brazil.

Founder of Voitto Group, currently a business mentor and dedicated to the executive front of Voitto, carrying with his team the vision of being the best online business school in Brazil.

Learn what it is and how to calculate the probability of a Poisson distribution.

Poisson distribution: what it is and how to calculate it

Do you know what a statistical distribution is? What is it for or how to use it? Do you also know what a Poisson distribution is?The Poisson distribution is nothing more than a statistical distribution. It was discovered by Siméon Denis Poisson and published together with his theory of probability in the year 1838.To find the answers to the other questions expressed here and other curiosities, do not forget to read this post.<h2>What is Poisson distribution?</h2>The Poisson distribution is a discrete probability distribution applicable to occurrences of a number of events in a specific range.To recognize a Poisson distribution, simply observe the following three aspects:<ul><li>The experiment calculates how many times an event occurs in a given time interval, area, volume, etc .;</li><li>The probability of the event occurring is the same for each interval;</li><li>The number of occurrences of one interval is independent of the other.</li></ul><h2>When to use the Poisson distribution?</h2>When you start a Six Sigma project, the<a target="_blank" rel="nofollow" href="https://www.voitto.com.br/blog/artigo/curso-green-belt"> Green Belt</a> or<a target="_blank" rel="nofollow" href="https://www.voitto.com.br/blog/artigo/o-que-e-black-belt"> Black Belt</a>, you should check what type of data (continuous or discrete) you are dealing with in the process output. This will determine which tools will be used in project development.It is up to this professional to define which of the numerous statistical distributions is the one that best represents the process being studied. The statistical distributions can be divided into two large groups:<ul><li>Discrete Distribution (Attributes);</li><li>Continuous Distribution (Variable).</li></ul>Discrete distributions must be used to model situations where the output of interest can only assume integer values ​​(discrete) such as number of heads or tails, 0 or 1 for failure or success, or 0,1,2, 3, ... as the number of occurrences of a particular event of interest for example.The discrete distribution can still be divided into two families:<ul><li><a target="_blank" rel="nofollow" href="https://www.voitto.com.br/blog/artigo/distribuicao-binomial">Binomial Distribution</a>;</li><li>Poisson distribution.   </li></ul><h2>Examples of Poisson distribution</h2>In order to be clearer where and when to use this distribution, I have separated some examples, check it out!<ul><li>Computer users connected to the Internet;</li><li>Clients coming to the cashier of a supermarket;</li><li>Accidents with automobiles on a certain road;</li><li>Typing errors for a certain period of time;</li><li>Number of cars arriving at a gas station;</li><li>Number of failures in components per unit of time;</li><li>Number of requests for a server in a time interval. </li></ul>Looking for development in your professional career?What do you think of becoming a reference professional in the market through one of the most used methodologies in the world?Our Black Belt training in Lean Six Sigma is the next step towards your growth and recognition!With our Black Belt certification, you will learn how to manage projects, increase results, lead teams, and the main Lean Six Sigma tools for solving highly complex corporate problems in search of strategic competitiveness.Don&#39;t waste time! Develop the knowledge and skills that will make you a reference professional in the market! <a target="_blank" rel="nofollow" href="https://thinkleansixsigma.thinkific.com/courses/lean-six-sigma-black-belt-upgrade"> <Image quality="95" src="https://images.prismic.io/voitto-blog/f6f988e8-00b9-43bb-ab52-27b100ce660a_Black+Belt+-+Bot%C3%A3o+Banner.png" width="1026" height="206" alt="Black Belt in Lean Six Sigma" title="Black Belt in Lean Six Sigma"/></a>Now that you already know what a Poisson distribution is, what criteria to identify them, and also saw some examples, let&#39;s see how to calculate it.<h2>How to calculate the Poisson distribution?</h2>To calculate the probability of a Poisson distribution, you need the following probability function. <Image quality="95" width="129" height="51" src="https://images.prismic.io/voitto-blog/NTk2OWRhZmUtNzFiMS00NGJiLTk1MmEtYjVmODgyMmViMWZm_eenqpn2kws2bj3l2xpwsecm-4ddnw4bafyd8ychutw9efvskwhg7xaro-9b5omwb3ob9pjdhwpz0-yxwxjiygk5lgxx4h2bsmurlaywxsfybnjkkpuncepo4qkqj4s3eudb8n45a" alt="How to calculate the Poisson distribuition" title="How to calculate the Poisson distribuition" /> This equation is obtained through an approximation of the Binomial Distribution, considering &#39;n&#39; tending to infinity and &#39;P&#39; tending to zero.Where x is the random variable that assumes the value k. μ is the value of the average rate and &quot;e&quot; is the Euler number, which is worth approximately 2.71828 ...<h2>Poisson distribution: an applied example</h2>In order to consolidate all this knowledge, I created an example to apply this concept, check it out!In a bank, it was found after a data collection that the average number of customers who purchase certain insurance is 6 per hour. Determine, then, the probability that at a certain time of day exactly 8 insurances are sold.In this context, it is possible to observe that the data have the three characteristics necessary for a Poisson distribution, so we will apply the data in the equation presented in this article and obtain the following expression: <Image quality="95" width="163" height="46" src="https://images.prismic.io/voitto-blog/ZWE4ZDBlZDMtZDYwMS00MWViLTkxMDktN2ZlNWNmMGU2MGI3_k5tphhiryrrn8cqngy6xtznky06-q7igmfm4gpoctkfaidbe-0iyejs2vi3vxvle5lfgsu8jnja9pneaonbeg55yanyz1lu4yizgcedowcm46vexdsib7mjb3kam9ql9gox088vc" alt="Poisson distribuition: applied example" title="Poisson distribuition: applied example" /> That is, for a value of k = 8 and average  μ = 6, we obtain a probability of 10% of a given hour being sold 8 insurance.To further enhance our knowledge, I will expand upon this example. What would be the probability that at a given time less than 3 insurance would be sold?It is important to realize that the probability of less than three in a discrete variable is equal to the probability of zero plus the probability of one plus the probability of two as shown below. <Image quality="95" width="524" height="52" src="https://images.prismic.io/voitto-blog/YjE3ZmZkN2UtMWEyNC00YjFmLTkyODgtMTdkMjY2NzI5Y2Y3_zzbdgzqo0iu3vqs2hxacb3rxpok8oa_yb93niprjv-ggvnboxl93q2dmn2c8ludfwx5odhmesrqrycaqaqdp1i16vtligke0ixnfqvhnj91h_ybvzuxwyqkoulrdic7s2k9qdydt" alt="Poisson distribuition: appled example" title="Poisson distribuition: appled example" /> That is, the probability of selling less than three insurance at a given time is approximately 6.2%.<h2>Master the Lean Six Sigma methodology!</h2>Continue to specialize in the Lean Six Sigma methodology and take the next step for your professional recognition now! With the advancement of tools and techniques from Green Belt to Black Belt you will be able to delve even deeper into this methodology, offer greater results to organizations, consequently being a prominent professional in the market!<a target="_blank" rel="nofollow" href="https://thinkleansixsigma.thinkific.com/courses/lean-six-sigma-black-belt-upgrade"> <Image quality="95" src="https://images.prismic.io/voitto-blog/43567fc5-33f3-4152-8f89-e7a2e2faca0e_Green+Belt+-+Bot%C3%A3o+Banner.png" width="1026" height="206" alt="Green Belt in Lean Six Sigma" title="Green Belt in Lean Six Sigma"/></a>