15.2.56 One dimensional random variables and their characteristics
Condition: The locator's area of responsibility is determined in polar coordinates by the inequalities \( \varphi_{1} \leq \varphi \leq \varphi_{2} \) and \( p_{1} \leq p \leq 100 \). A target may appear at a random point in the area of responsibility. Its distance from the locator is a random variable \(X\). Considering all target hits in the area of responsibility of the radar to be equally possible, find the distribution function of the random variable \(X\) and its density function ve
Study of discrete and continuous one-dimensional random variables, calculation of their characteristics such as mathematical expectation, variance, standard deviation, moments, distribution and density functions. We also consider problems on known distributions - Gauss, Bernoulli, Poisson. Finding the probabilities of various events, including those from everyday life.