The ‘!’ notation is the factorial. As you might see, for non-negative integer x, it is calculated as the multiplication of all numbers up to x, for example: 2.2. The binomial density funtion (PMF) Now, we are ready to define the binomial density function as a probability of obtaining m successes in N Bernoulli trails: So, the binomial distribution is a discrete probability distribution of the number of successes (m) in a sequence of N independent repetitions of a given experiment, which asks yes-no (success-failure, 1–0) question, the probability of success is p, and the failure’s probability is q=1-p. Let’s consider an example. You are practicing free throws during basketball training. From the season statistics, we know that the probability that you will score a point is 75%. Your coach told you that if you score 17 points out of 20 attempts, you will start for the next match. What is the probability that you score exactly 17 points? We need to assume that the probability of a successful free throw shot is independent of the previous result (the mental strength does not play a role here). We also do not care about the order of scoring, such that it does not matter whether you fail first, third or last shot. Thus, this is a binomial distribution. We can use the binomial density function as given above and get: We can repeat this excercise for other scores. As a result, we get the binomial distribution plot (PDF): But you want to score at least 17 points, not exactly 17 points. So what is the probability that you will be...
One of the great features of ASP.NET Core is its built-in support for logging. This means that you can take advantage of your logging framework to get infrastructure logs from your logging infrastructure. While this can help you gain deeper insights into your application metrics, this does have its downsides as well. For example, you would often get too many logs, i.e., too many messages in your logs that might not be meaningful. Serilog is a third-party, open-source library that integrates nicely with ASP.NET Core and allows developers to easily log-structured event data to the console, to files, and various kinds of log targets. I’ve discussed on the basic features of Serilog in a previous article here. This article talks about a few advanced capabilities in Serilog such as reducing log verbosity and log message summary and how you can implement them in ASP.NET Core MVC 5. To work with the code examples provided in this article, you should have Visual Studio 2019 installed in your system. If you don’t already have a copy, you can download Visual Studio 2019 here. Create an ASP.NET Core MVC project in Visual Studio 2019 First off, let’s create an ASP.NET Core project in Visual Studio 2019. Following these steps will create a new ASP.NET Core MVC 5 project in Visual Studio 2019. A new ASP.NET Core MVC 5 project will be created together with the default HomeController class. We’ll use this project to work with Serilog in the subsequent sections of this article. Install the Serilog NuGet packages If you have successfully created an ASP.NET Core project, the next thing you should...
Every company seeks absolute methods to hire mobile app developers now and then. 2022 will become the golden year for the mobile app development segment as the year will be introduced with advanced app technologies, influencing more than half of the world’s population. Applications subject to surging growth follow the trends by heart or either bring them into existence. The market is currently plausibly dominated by Gmail, Google Maps, Facebook, Instagram, Twitter, Youtube, Amazon, and Walmart. However, from this point, 2021 app trends are controversial. Here are top trends that will arguably rule the market: AI industry is expected to rise to $40 billion. Artificial Intelligence (AI) is forecasted to reach $40 billion by the end of 2021. Google Assistant, Replica, Siri, and Alexa will become extremely potent and reliable as compared to their previous versions. E-commerce mobile apps give up to 70% higher conversion rates than mobile sites. 66% of e-commerce apps users shop online at least once a week as per a Google survey. And here is another fact: users invest over 50% more money during online shopping than offline. Hire mobile app developers to offer convenience, filtered recommendation, higher speed, rewards, and personalized content to your users. Wearable items will be worn like regular clothes. Wearable applications run on mobile devices worn by someone as an accessory. It was first introduced in 2009 and today as per the recent legitimate predictions the wearable software market will reach to whopping $929 million which is twice more than in 2017. The no. of IoT-connected devices reached 10 billion in 2018 and continues to grow. Wearable applications run on mobile...
Muhammad Yahya Patel (Mo) is a highly acclaimed Security Engineer and member of the Check Point Office of the CTO. Mo has over 10 years of experience in cyber security, ISP field & operations and ICT. Before joining Check Point, he worked as a Security Consultant designing and implementing security solutions for private and public sector organisations including the UK’s National Health Service. He is a trusted advisor amongst some of the UK’s top VARs and works closely with C-levels on strategy and security challenges. In this outstanding interview, expert Muhammad Yahya Patel shares perspectives about closing the cyber security talent gap, retaining talent, and training the next generation of cyber security professionals. The topic of cyber security skills is becoming widely discussed among the industry and within many organizations; including government groups. Can you share insights around this? The timing of this interview is perfect because the UK government department DCMS just released their 2022 report, Cyber Security Skills in the UK Labour Market. In this report, we find that the average number of vacancies per business has increased. If we take a look at cyber security businesses that contribute to a large portion of the hires in the industry, since 2020, more than half of these businesses have tried to recruit people into cyber roles. We are seeing an increasing trend where cyber vacancies prove difficult to fill. The common denominator amongst candidates is lack of knowledge and skills. It’s also difficult to fill positions when there is a high demand for candidates, as this drives competitive behavior between businesses when it comes to attracting the right...
It takes time to build an appealing and functional website. Web developers are dedicated to delivering fast, reliable, and high-quality websites. Thus, to improve our productivity, we need tools that help us provide the best quality software and make our lives easier at the same time. In this article, we will discuss tools that can be used to improve our productivity and manage some of the challenges we face in web development. 1. Animista Animista is a great tool for creating custom CSS animations with various effects. Customize any animation in their collection, including a background, exit, text, etc., with their diverse effects. Once you have done that, you will be able to find the code to create the animation. Then you can integrate it into your website. 2. Responsinator Responsinator is easy to use and free. The tool shows you the most popular screen sizes and shapes for your webpage when you enter the URL of your page. 3. ExtractCSS By using this tool, you can extract elements’ id, class, and inline styles from an HTML document and output them as CSS stylesheets. The Meta Tag is a tool for debugging and generating meta tags for any website. If you use Meta Tags, you can edit and experiment with your content, then preview the way it appears on Google, Facebook, Twitter, and more! 5. WhatRuns With this tool, you can check out other sites’ themes, plugins, and server information. WhatRuns is compatible with Chrome and Firefox. 6. Grabient For creating linear gradients for your website, Grabient offers an easy-to-use UI. Choose your color and adjust the angles as...
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