15.2.59 One Dimensional Random Variables and Their Characteristics
Condition: The random value \ (x \) has the distribution of the Pareto with probability density \ (f (x) = \ frac {a} {x_}} \ left (\ frac {x_}} {x} \ right) {a+1} \), with \ (x_ {0} \ leq x \) and \ (f (x) = 0 \) with \ (x 0 \ right. \) and \ (\ left.x_ {0}> 0 \ right) \) Find: \ (x), \ quad P \ left (x_ {0} \ leq x
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.