DHS 18.2 - Option 12. Decisions Ryabushko AP

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)

1.12. Of the 20 parties in the products, among which there are four non-standard for quality randomly selected 3 articles; SW X - number of non-standard products including scanned.

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.
3.12. The edge of the cube´s measured approximately 1 ≤ x ≤ 2. Considering the edge of the cube as the SV X, uniformly distributed in the interval (1, 2), find the expectation and variance of the cube volume.

4. Solve the following problems.
4.12. The probability of a positive outcome of a single test is 0.8. Rate the likelihood that the frequency deviation of the positive outcomes of probability in a separate trial in its absolute value is less than 0.05 at 100 independent repeated trials.