DHS 18.2 - Option 6. Decisions Ryabushko AP

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DHS 18.2 - Option 6. 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)

1.6. The probability of fulfillment of the plan for the SU-1 is equal to 0.9, for the SU-2 - 0.8, for SU-3 - 0.7; SW X - the number of SU, exceeded the plan.

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.
3.6. The flow of applications received by the telephone exchange, is the simplest Poisson flow. The expected number of calls is equal to 1 h 30. Find the probability that arrive for 1 min at least two calls.

4. Solve the following problems.
4.6. DM X is the average of 10,000 independent identically distributed random variables, the standard deviation of each of which is equal to 2. What is the maximum deviation of CB X from its mathematical expectation can be expected with a probability of not less than 0.9544?

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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