15.2.55 One Dimensional Random Variables and Their Characteristics
Condition: one vertex of the triangle is at the point \ (a (0; 0) \), the second is at point \ (b (19; 0) \), and the position of the third peak is equally possible in the area limited by lines \ (y = 0, x = 19 \) and \ (y = \ squrt {19 x} \). Find the function of probability density for the area of the triangle, the mathematical expectation of this area and its dispersion.
Study of Discrete and Continous One-Dimensional Random Variaans, Calculation of Their Characteristics Such as Mathematical Expectation, Standard Deviation, Standard Deviation, Moments, Distribution and Density Functions. WE ALSO Consider Problems on Known Distributions - Gauss, Bernoulli, Poisson. Finding The Probabilites of Various Events, Including Those from Evedey Life.