Случайные величины | Теория вероятностей

We continue our lecture course on probability theory, which you can find in the Elements of Probability Theory playlist at    • Элементы теории вероятностей   The topic of today's lecture is random variables. We'll primarily cover discrete random variables, look at how they are defined by a distribution series, draw a distribution polygon, and then move on to the distribution function, which fully characterizes a random variable, both discrete and continuous. After discussing the properties of the distribution function, we'll make a smooth transition to continuous random variables, which we'll discuss in other lectures. Today, however, we'll show that a continuous random variable takes any value with probability zero, which, however, is not the impossible event we defined in the very first lecture of this course. Read by Igor Tinyakov #probabilitytheory #elementarymathematics #randomvariable #distributionfunction #distributionlaw