ИДЗ 18.2 – Вариант 29. Решения Рябушко А.П.

1. Find the distribution of the said discrete CB X and its distribution function F (x). Calculate the expectation M (X), the variance of D (X) and standard deviation σ (X). Draw the graph of the distribution function F (x)

1.29. Of the 39 devices tested for reliability, 5 the highest category. Randomly took 4 of the device; SW X - the number of the highest category among the selected devices.

2. Dana distribution function F (x) DM X. Find the probability density function f (x), the expectation M (X), the variance of D (X), and the probability of hitting NE X on the interval [a; b]. Construct the graphs of the functions F (x) and f (x).

3. Solve the following problems.
3.29. Find the mean, variance and standard deviation SV X, uniformly distributed in the interval (8; 14).

4. Solve the following problems.
4.29. The standard deviation of measurement error azimuth equal to 0,5 °, and its expectation - zero. Rate the likelihood that the error of the arithmetic mean of three independent measurements did not exceed 1 °.

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