Reshebnik Ryabushko. Solved IDZ 18.1, Option 17
Replenishment date: 07.11.2018
Content: 17v-IDZ18.1.rar (26.94 KB)
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Description
Solve the following problems (1 - 6)
1.17. How many ways can you choose two pencils and three pens from five different pencils and five different pens?
2.17. On ten identical cards are written different numbers from 0 to 9. Determine the probability that a two-digit number randomly composed using these cards is divisible by 18.
3.17. The first worker makes 40% of the second-class products, and the second - 30%. Each worker has two items taken at random. What is the probability that: a) all four products are of the second grade; b) at least three products are of the second grade; c) less than three products - second grade.
4.17. The television studio has 2 tubes of the first type and 8 of the second type. The probability of meeting the warranty period for CRTs of the first type is 0,9, and for the second type - 0,6. Find the probability that: a) a picture tube taken at random will withstand the warranty period; b) a kinescope taken at random, having withstood the warranty period, of the first type.
5.17. When transmitting a message, the probability of distortion of one character is 0,1. Find the probability that a message of 10 characters: a) will not be distorted; b) contains three distortions; c) contains no more than three distortions.
6.17. The probability of deviations from the accepted standard when stamping the terminals is 0,02. Find the probability of a batch of 200 terminals from 70 to 80 non-standard terminals.
1.17. How many ways can you choose two pencils and three pens from five different pencils and five different pens?
2.17. On ten identical cards are written different numbers from 0 to 9. Determine the probability that a two-digit number randomly composed using these cards is divisible by 18.
3.17. The first worker makes 40% of the second-class products, and the second - 30%. Each worker has two items taken at random. What is the probability that: a) all four products are of the second grade; b) at least three products are of the second grade; c) less than three products - second grade.
4.17. The television studio has 2 tubes of the first type and 8 of the second type. The probability of meeting the warranty period for CRTs of the first type is 0,9, and for the second type - 0,6. Find the probability that: a) a picture tube taken at random will withstand the warranty period; b) a kinescope taken at random, having withstood the warranty period, of the first type.
5.17. When transmitting a message, the probability of distortion of one character is 0,1. Find the probability that a message of 10 characters: a) will not be distorted; b) contains three distortions; c) contains no more than three distortions.
6.17. The probability of deviations from the accepted standard when stamping the terminals is 0,02. Find the probability of a batch of 200 terminals from 70 to 80 non-standard terminals.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.