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DHS 18.2 - Option 17. Decisions Ryabushko AP
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Uploaded: 10.12.2016
Content: 17v-IDZ18.2.doc 178 kB
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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)
1.17. The probability of failure of the device during the test reliability is 0.2; SW X - number of devices failed to work among the five tested.
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.
3.17. Trams go this route at an interval of 5 minutes. Passengers coming to the tram stop at some point in time. What is the probability of a passenger not earlier than 1 minute after the departure of the previous tram, but not later than 2 minutes prior to departure of the next tram?
4. Solve the following problems.
4.17. The expectation of the number of drop-down for the year in the area of precipitation is 60 cm. Determine the probability that a fall of at least 180 cm in the area of precipitation.
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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