DHS 18.1 - Option 1. Decisions Ryabushko AP

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Uploaded: 09.11.2016
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Solve the following problems (1 - 6)

1.1. On the farm work of the three teams recovered one person. It is known that in the first team of 15 people, the second - 12 the third - 10 people. Determine the number of possible groups of 3 persons, if it is known that each worker can be sent to agricultural work.

2.1. I made up the word "song" Of the five letters of the alphabet split. A child who can not read, scattered letters, and then collected in a random order. Find the probability that he again turned the word "song".

3.1. In the TV studio three television cameras. Probability that the currently enabled camera, are respectively 0.9; 0.8; 0.7. Find the probability that currently includes: a) two chambers; b) no more than one camera; c) three cameras.

4.1. 20% with the use of devices mounted micromodule, the others - with the use of integrated circuits. Reliability of the device with micromodules - 0.9, integrated circuits - 0.8. Find: a) the probability of reliable operation of the device taken at random; b) the likelihood that the device - a micromodule, if he was OK.

5.1. The germination of seeds of some plants is 80%. Find the probability that the sown seeds of 6 rises: a) three; b) at least three; at four.

6.1. The probability of occurrence of events in each of the independent trials is 0.25. Find the probability that the event occurs 50 times in 243 trials.

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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