# Probability option 6 Deposit fine

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1. From the deck of cards (36 cards) pulled out 5 cards. What is the probability that there will be pulled out two aces, one jack and two sixes?
2. Six students randomly seated at a round table. What is the probability that three opredelѐnnye will close?
3. How long does it take the parts to the most probable number of suitable components were equal to 65, if the probability that the item will be taken at random defective is 0.05?
4. All the products are checked by two plant supervisors, the first supervisor checks 65% of the products, and the second - the other. The probability that the first controller will skip the non-standard product is 0.03, the second - 0.05. Taken at random product labeled as a standard, it was unusual. Find the probability that it is checked by a second controller.
5. Weekly production output at the plant is distributed approximately normal distribution with a mean of 14,678 units. production week and standard deviation 4670 units. Find the probability that the weekly output is lower than 8876 units. in a week.

6. How many times it is necessary to measure the temperature of the solution to a probability of at least 0.95 it could be argued that the arithmetic mean of these measurements will differ from the true value by not more than 20, if the average - standard deviation of 80.
7. An urn 3 white and 6 of ferrous ball. Two poocherѐdno guesswork is taken out of the bowl (without replacement). What is likely to first take out the white ball first?
8. A discrete random variables defined distribution law:
X -1 0 1 3 5
P 0.1 0.2 0.4 0.2 0.1
Using Chebyshev's inequality to estimate the probability that
| X M (X) | <2,5.
9. promotional trading company invests every tenth unit price prize of 1 ths. Rub. Find the expectation of a random variable - the size of the win at five to make a purchase
10. A random variable X is given differential function:
Determine the probability of getting a random value in the range (1, 1.1). (Answer to the nearest hundredth)

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