DHS 18.2 - Option 23. 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)

1.23. The probability that the item with the first machine complies with the standard, equal to 0.9, for the second machine - 0.8, for the third - 0.7; SW X - the number of items that meet the standard, provided that each machine is taken at random for one detail.

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.
3.23. Graduation ammeter scale equal to 0.1 A. Indications shall be rounded to the nearest whole division. Find the probability that the error will be made at the count exceeding 0.04 A.

4. Solve the following problems.
4.23. To determine the average yield on an area of 1,800 hectares in the sample taken at 1 m2 per hectare. It is known that yield dispersion throughout the area does not exceed 4.5. Estimate the probability that the sample average yield will differ from the average yield on the whole area of not more than 0.25 p.