Reshebnik Ryabushko. Solved IDZ 18.2, Option 14

Replenishment date: 07.11.2018
Content: 14v-IDZ18.2.rar (83.13 KB)
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1. Find the distribution law of the indicated discrete CB X and its distribution function F (x). Calculate the mathematical expectation M (X), variance D (X) and standard deviation σ (X). Plot the distribution function F (x)

1.14. In a batch of 15 telephones, 5 are faulty; SV X is the number of faulty vehicles among three randomly selected ones.

2. Given the distribution function F (x) RV X. Find the probability density f (x), mathematical expectation M (X), variance D (X) and the probability of falling RV X on the segment [a; b]. Build graphs of functions F (x) and f (x).

3. Solve the following tasks.
3.14. During the operation of the computer, failures occur from time to time. The flow of failures can be considered the simplest. The average number of outages per day is 1,5. Find the probability that at least one failure occurs during the day.

4. Solve the following tasks.
4.14. According to the quality control department, the scrap in the production of parts is 2,5%. Using Bernoulli's theorem, estimate the probability that when viewing a batch of 8000 parts, a deviation from the average scrap rate of less than 0,005 is found.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.
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