15.2.58 One Dimensional Random Variables and Their Characteristics
Condition: random value \ (x \) has the function of the distribution \ [f (x) = \ left \ {\ bein {array} {cl} 0, & \ text {for} x <0 \\ \ frac {4 \ left (a X-X^{2} \ RIGHT)} {A^{2}, & ONXT {UNITION} X \ In \ Left [0, \ FRAC {A} {2} \ RIGHT] \\ 1, ON {} X> \ FRAC {2} {2} {2} \ end {Array} \ Right. \] Найдите: \[ M(x), \quad P\left(x<\frac{a}{4}\right), \quad P\left(\frac{a}{8}
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.