
15.2.62 One Dimensional Random Variables and Their Characteristics
Condition: The random value is set by the distribution function \ (f (x) \). Find the density of probability distribution \ (f (x) \), mathematical expectation and dispersion of random, the probability of getting into the interval \ ((\ alpha; \ beta) \). Build functions \ (f (x), f (x) \). \ [F (x) = \ left \ {\ begin {array} {cc} 0, & x \ leq 1 \\ \ frac {x^} -x} {6}, & 1 3 \ End {Array} \ Quad (0; 1) \ Right. \]
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.