Hello i am Teresa and i developed a game called "Mampfi" (mampfen => German slang for eating) you can download it from www.spielend-programmieren.at I will show you what you...

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Hi. In this problem, we're going to use the set of probability axioms to derive the probability of the difference of two events. Now, before we get started, there's one thing you might...

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Previously, we learned the concept of independent experiments. In this exercise, we'll see how the seemingly simple idea of independence can help us understand the behavior of quite complex...

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Hey, everyone. Welcome back. Today, we're going to do another fun problem that has to do with a random number of coin flips. So the experiment we're going to run is as follows....

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Hi. In this problem, we'll get more practice using conditioning to help us calculate expectations of variances. We'll see that in this problem, which deals with widgets and crates,...

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In this video, we're going to do an example in which we derive the probability density function of the sum of two random variables. The problem tells us the following. We're given that...

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In this problem, we're given an urn with n balls in it, out of which m balls are red balls. To visualize it, we can draw a box that represents the set of all n balls. Somewhere in the middle...

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In this problem, we will be helping Romeo and Juliet meet up for a date. And in the process, also we'll review some concepts in basic probability theory, including sample spaces and...

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Hey, guys. Welcome back. Today, we're going to do another fun problem, which is a drill problem on joint PMFs. And the goal is that you will feel more comfortable by the end of this problem,...

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For part E and F of the problem, we'll be introducing a new notion of convergence, so-called the convergence E mean squared sense. We say that xn converges to a number c in mean squared, if as...