
15.2.54 One Dimensional Random Variables and Their Characteristics
Condition: two vertices of the triangle coincide with points \ (a (0; 0; 0) \) and \ (C (19; 0) \). Position of the third vertex \ (b (x; y) \) is equally possible at any point in the region \ (d = \ {0 \ leq x \ leq 19 \); \ (\ left.0 \ leq y \ leq (x-19)^{2} \ right \} \). Find the function of probability density for the area of the triangle and the mathematical expectation of this area.
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.