Reshebnik Ryabushko. Solved IDZ 18.2, Option 25
Replenishment date: 07.11.2018
Content: 25v-IDZ18.2.rar (69.5 KB)
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Description
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)
1.25. The probabilities of failure during the warranty period of each of the three units of the device are respectively 0,2; 0,3; 0,1; SV X is the number of nodes that failed during the warranty period.
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.
3.25. The radio station transmits information for 10 μs. Its operation occurs in the presence of a chaotic impulse noise, the average number of impulses of which per second is 104. To disrupt the transmission, it is enough to hit one noise impulse during the station operation. Assuming that the number of noise impulses falling into a given time interval is distributed according to Poisson's law, find the probability of disruption of information transmission.
4. Solve the following tasks.
4.25. The average value of the water consumption in the settlement is 50 l / day. Estimate the likelihood that the water consumption in this settlement will not exceed 000 l / day.
1.25. The probabilities of failure during the warranty period of each of the three units of the device are respectively 0,2; 0,3; 0,1; SV X is the number of nodes that failed during the warranty period.
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.
3.25. The radio station transmits information for 10 μs. Its operation occurs in the presence of a chaotic impulse noise, the average number of impulses of which per second is 104. To disrupt the transmission, it is enough to hit one noise impulse during the station operation. Assuming that the number of noise impulses falling into a given time interval is distributed according to Poisson's law, find the probability of disruption of information transmission.
4. Solve the following tasks.
4.25. The average value of the water consumption in the settlement is 50 l / day. Estimate the likelihood that the water consumption in this settlement will not exceed 000 l / day.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.