DHS 18.1 - Option 17. Decisions Ryabushko AP

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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.