DHS 18.2 - Option 25. 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)

1.25. The probability of failure during the warranty period of each of the three components of the device are, respectively, 0.2; 0.3; 0.1; SW X - the number of nodes that fail during the warranty period.

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.
3.25. The transceiver transmits the information within 10 ms. The work it takes place in the presence of a chaotic impulse noise, which is the average number of pulses per second is 104. To disrupt the transmission enough getting one pulse interference between the work stations. Considering that the number of interference pulses falling within a given time interval, the Poisson distribution to find the probability of data transmission failure.

4. Solve the following problems.
4.25. The average water flow rate in the village is 50 000 liters / day. Rate the likelihood that the village water consumption will not exceed 150 000 liters / day.