Solve the following problems (1 - 6)

1.3. Students in this course learn 12 disciplines. The schedule of classes every day is included on the 3 items. training schedule for each day can be made how many ways?

2.3. From bushings party made for a change of a turner, randomly selected for control 10 pcs. Find the probability that among the two selected plugs - the second grade, when in all 25 games of first grade plugs and 5 - second.

3.3. The unit consists of three radio tubes. The probability of failure during the warranty period for these are, respectively, 0.3; 0.2; 0.4. What is the probability that during the warranty period will fail: a) at least two radio tubes; b) no radio tubes; c) at least one vacuum tube?

4.3. Among admitted to the assembly of parts 30% - with the plant number 1, and the rest - from the factory number 2. The probability of marriage for the plant number 1 is equal to 0.02 for the plant number 2 - 0.03. Find: a) the probability that randomly taken part standard; b) the probability of production of items taken at random at the plant number 1, if it was a standard.

5.3. Among the blanks, a work produced on average 4% does not satisfy the standard. Find the probability that taken for control does not satisfy the standard requirements include 6 pieces: a) at least five; b) not more than five; c) two.

6.3. The probability of occurrence of an event in each of the independent trials is 0.2. Find the probability that the event occurs 25 times in 100 trials.

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