DHS 18.1 - Option 29. Decisions Ryabushko AP

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Solve the following problems (1 - 6)

1.29. The CD has 10 telephone numbers. Each has a PBX phone number recorded by a five-digit number, and they have the first figure is the same. Find the greatest possible number of subscribers of this station, whose last 4 digits of the telephone number is different.

2.29. The party, consisting of 20 radios, 5 faulty. Randomly take 3 radio. What is the probability that the number selected will include 1 and 2 faulty serviceable radio?

3.29. Engineer calculates, using three directories. The probabilities that the data are of interest to him in the first, second, third, reference books, are, respectively, 0.6; 0.7; 0.8. Find the probability that the data of interest to the engineer contains: a) only in one directory; b) only two references; c) in all three references.

4.29. At the assembly parts come with four machines. It handles 40% of the first, second - 30, the third - fourth and 20 - 10% of all items entering the assembly. The first machine gives 0.1% of marriage, the second - 0.2, the third - 0.25, the fourth - 0.5%. Find the probability that a) the assembly will come standard item; b) received on a standard assembly member is made the first machine.

5.29. Among the parts manufactured by working, an average of 4% defective. Find the probability that among control made at five parts: a) two defective; b) at least one defective; c) no more than one defective.

6.29. The average density of pathogenic bacteria in 1 m3 of air is equal to 100. take the sample 2 dm3 air. Find the probability that at least one bacterium is found therein.

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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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