Solve the following problems (1 - 6)

1.26. In the chess tournament was played 45 parties, each of the players played with the rest of one party. How many players participated in the tournament?

2.26. After the storm on a plot of telephone line between the 40th and 70th kilometers of wire breakage occurred. What is the probability that it occurred between the 50th and 55th kilometers of the line?

3.26. Two machines of the same type are processed items. The emergence of defective parts for machine number 1 is 3%, for the machine number 2 - 4%. With each machine took on a beat. Find the probability that: a) both of the details standard; b) a standard part; c) both of the details non-standard.

4.26. There are 6 types of boxes and the LED diodes and 8 boxes of type B. The probability of failure-free operation of the diode type A is 0.8, Type B - 0.7. a) Find the probability that the diode is taken at random will work guarantee the number of hours, b) take the guesswork diode guarantee the number of hours worked. What type he probably refers?

5.26. The probability of hitting the target with one shot from a rifle is 0.3. Produced 6 shots. Find the probability that there was: a) three hit the target; b) five hits; c) at least five hits.

6.26. Find the probability that the test at 400 will be at least an event 104, if the probability of its occurrence in each independent test is 0.2.

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