Reshebnik Ryabushko. Solved IDZ 18.1, Option 29
Replenishment date: 07.11.2018
Content: 29v-IDZ18.1.rar (27.81 KB)
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Description
Solve the following problems (1 - 6)
1.29. The dial of the telephone has 10 digits. Each PBX telephone has a five-digit number, with the first digit being the same. Find the largest possible number of such subscribers of this station, whose last 4 digits of the phone number are different.
2.29. In a batch of 20 radios, 5 are faulty. Take 3 radios at random. What is the likelihood that the sample will include 1 defective and 2 working radios?
3.29. The engineer performs the calculation using three reference books. The probabilities that the data of interest to him are in the first, second, third reference books are equal to 0,6, respectively; 0,7; 0,8. Find the probability that the data of interest to the engineer are contained: a) only in one reference book; b) only in two reference books; c) in all three reference books.
4.29. Parts are supplied to the assembly from four automatic machines. The first one processes 40%, the second - 30, the third - 20 and the fourth - 10% of all parts entering the assembly. The first machine gives 0,1% of scrap, the second - 0,2, the third - 0,25, the fourth - 0,5%. Find the probability that: a) the assembly will receive a standard part; b) the standard part received for assembly was made by the first automatic machine.
5.29. Among the parts produced by the worker, on average 4% are defective. Find the probability that among the five parts taken for control: a) two are 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 100. 2 dm3 of air is taken for a sample. Find the probability that at least one bacteria will be found in it.
1.29. The dial of the telephone has 10 digits. Each PBX telephone has a five-digit number, with the first digit being the same. Find the largest possible number of such subscribers of this station, whose last 4 digits of the phone number are different.
2.29. In a batch of 20 radios, 5 are faulty. Take 3 radios at random. What is the likelihood that the sample will include 1 defective and 2 working radios?
3.29. The engineer performs the calculation using three reference books. The probabilities that the data of interest to him are in the first, second, third reference books are equal to 0,6, respectively; 0,7; 0,8. Find the probability that the data of interest to the engineer are contained: a) only in one reference book; b) only in two reference books; c) in all three reference books.
4.29. Parts are supplied to the assembly from four automatic machines. The first one processes 40%, the second - 30, the third - 20 and the fourth - 10% of all parts entering the assembly. The first machine gives 0,1% of scrap, the second - 0,2, the third - 0,25, the fourth - 0,5%. Find the probability that: a) the assembly will receive a standard part; b) the standard part received for assembly was made by the first automatic machine.
5.29. Among the parts produced by the worker, on average 4% are defective. Find the probability that among the five parts taken for control: a) two are 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 100. 2 dm3 of air is taken for a sample. Find the probability that at least one bacteria will be found in it.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.