DHS 18.2 - Option 14. 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)

1.14. The party of 15 telephones 5 faulty; SW X - the number of defective units among the three randomly selected.

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.
3.14. When the computer crashes occur during the time. Feed failures can be considered as the simplest. The average number of failures per day is 1.5. Find the probability that happens during the day at least one failure.

4. Solve the following problems.
4.14. According to TCI, a marriage with the release of parts of 2.5%. Using the theorem of Bernoulli, to evaluate the likelihood that when viewing party from 8000 pieces will be set deviation from the average share of less than 0,005 marriage.