DHS 18.1 - Option 17. Decisions Ryabushko AP

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

1.17. How many ways can select two pencils and three handles five different pencils and five different pens?

2.17. At the same ten cards written by different numbers from 0 to 9. Determine the probability that a randomly composed by a two-digit number is divided into 18 data cards.

3.17. The first worker produces 40% of the products of Class II, and the second - 30%. Each worker is taken at random two products. What is the probability that: a) all four products - the second grade; b) at least three products - the second grade; c) at least three products - the second grade.

4.17. In a television studio 2 has a tube 8 of the first type and second type. Probability withstand the warranty period for the kinescopes of the first type is 0.9, while for the second type - 0.6. Find the probability that: a) taken at random kinescope survive the warranty period; b) taken at random picture tube, which went through the warranty period, the first type.

5.17. When sending a message to the likelihood of distortion of the sign is 0.1. Find the probability that a message of 10 characters: a) is not distorted; b) contains three distortion; c) comprises no more than three distortion.

6.17. The probability of deviations from the accepted standard in stamping terminals is 0.02. Find the probability of having a run of 200 terminals from 70 to 80 terminals that do not meet the standard.

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)


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