Reshebnik Ryabushko. Solved IDZ 18.1, Option 11
Replenishment date: 07.11.2018
Content: 11v-IDZ18.1.rar (28.18 KB)
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Description
Solve the following problems (1 - 6)
1.11. The foreman must send a team of 5 people to work. How many such units can be made up of 12 brigade people?
2.11. Lottery tickets were issued for a total of $ 10000. The ticket price is 0,5 cu. Valuable winnings fall on 50 tickets. Determine the probability of a valuable win for one ticket.
3.11. The workshop has three standby electric motors. For each of them, the probability that it is currently on is 0,2, respectively; 0,3; 0,1. Find the probability that: a) two electric motors are on; b) at least one electric motor; c) three electric motors.
4.11. To signal that the automatic line mode is deviating from the normal one, two types of indicators are used. The probabilities that the indicator belongs to one of the two types are 0,4 and 0,6, respectively. If the line is broken, the probability of the first type indicator triggering is 0,9, the second - 0,7. a) Find the probability that the chosen indicator will work at random if the line is not working properly, b) The indicator has triggered. What type is it most likely to be?
5.11. The probability of defeat in each chess game for a player is 0,5. Find the probability that he won in six games: a) at least once; b) two times; c) at least two times.
6.11. The probability of an event occurring in each independent trial is 0,7. Find the probability that in 100 trials the event will occur no more than 70 times.
1.11. The foreman must send a team of 5 people to work. How many such units can be made up of 12 brigade people?
2.11. Lottery tickets were issued for a total of $ 10000. The ticket price is 0,5 cu. Valuable winnings fall on 50 tickets. Determine the probability of a valuable win for one ticket.
3.11. The workshop has three standby electric motors. For each of them, the probability that it is currently on is 0,2, respectively; 0,3; 0,1. Find the probability that: a) two electric motors are on; b) at least one electric motor; c) three electric motors.
4.11. To signal that the automatic line mode is deviating from the normal one, two types of indicators are used. The probabilities that the indicator belongs to one of the two types are 0,4 and 0,6, respectively. If the line is broken, the probability of the first type indicator triggering is 0,9, the second - 0,7. a) Find the probability that the chosen indicator will work at random if the line is not working properly, b) The indicator has triggered. What type is it most likely to be?
5.11. The probability of defeat in each chess game for a player is 0,5. Find the probability that he won in six games: a) at least once; b) two times; c) at least two times.
6.11. The probability of an event occurring in each independent trial is 0,7. Find the probability that in 100 trials the event will occur no more than 70 times.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.