Math test with the answers of the 3

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Uploaded: 14.11.2012
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TEXT control works on the subject of "Higher Mathematics" (Part 3), the number of questions - 70.
Task 1
Question 1. What event in the terminology of the theory of probability is to hit the target when firing at a shooting range?
1. certain event.
2. The possible events.
3. The event is compatible with event A if event A is to misses the target.
4. A highlight of the opposite event, if event A is to hit the target.
5. It is no coincidence event.
Question 2. Suppose that event A k during the test took place s time. What is the absolute frequency of the event A?
1.
2.
3.
4. s.
5..
Question 3. In six throws dice (cube with numbers from 1 to 6 at the edges), the figure has fallen 2 times 5, the figure fell 4 2 times, and the numbers 3 and 2 fell 1 time each. What the results of this observation relative frequency (relative frequency) events consisting of dropping numbers 3 or 4 digits?
1.
2.
3.
4.
5..
Question 4. What is the statistical definition of probability?
1. The probability of an event A is the ratio of the number of outcomes favorable to event A, the total number of tests in a series of observations.
2. The probability of a stable called the frequency of the event.
3. The probability is called a constant, which are grouped around the observed values \u200b\u200bof relative frequency.
4. The probability is called the arithmetic mean of the relative frequency of occurrence events during the same series of tests.
5. The probability is the ratio of the number of favorable outcomes to the number of equally possible outcomes.
Question 5. What event is authentic?
1. The event, which favor more than half of the only possible outcome of the test.
2. Drop a positive number when throwing dice.
3. Removing the blind white ball from the urn, which are identical except for color, black and white balls.
4. Fall butter sandwich up.
5. Drop the different numbers at two throws dice.
Task 2
Question 1. In which case the system is called a complete event?
1. If the sum of the probabilities of these events is one.
2. If the events and are equally incompatible.
3. If the product of the probabilities of these events is one.
4. If the events are not incompatible and the only possible.
5. If the sum of the probabilities of these events is greater than one, but the events themselves are compatible.
Question 2. Assume that some tests may be events A and B, the probability of an event A, the probability of the event A is incompatible with B. Which of the following statements is not always true?
1. Event A is the opposite event B.
2. In the event the event is the opposite of A.
3. If events A and B are the only possible, the system events A, B is complete.
4. The events A and B - are equally likely.
5. The event, which favors A and B are true.
Question 3. What is the probability that the three throws of the dice falls three times the number 3?
1.
2.
3.
4.
5..
Question 4. From an urn in which four white balls and 3 black randomly recovered two balls. (After removing the ball is not returned in the box). The balls in the urn differ only in color. What is the probability that the first black ball will be extracted, and the second - white?
1.
2.
3.
4.
5..
Question 5. If you get a target bullet, it topples. Assume that the direction of well known that it gets to the target with a probability of arrow B knows that it gets to the target with a chance, but the arrow C knows that it gets to the target probability. Arrows A, B, C simultaneously shot at a target. What is the probability that the target capsize?
1.
2.
3.
4.
5..
Activity 3

1. The theory of addition of probabilities.
2. The probability of occurrence of an event at time r k independent tests

Additional information

Activity 3
Question 1: What does the Bernoulli formula?
1. The theory of addition of probabilities.
2. The probability of occurrence of an event at time r k independent tests.
3. The probability of the event A in two independent trials.
4. The probability of two simultaneous events in one trial.
5. The conditional probability the only possible event.
Question 2. What is the probability that 4 times extracting from the urn, with a blindfold, a ball, we have exactly 2 times the extract white, if the urn 6 white balls and 4 black, and after each retrieve the ball back in the box?
1. 0.36h 0.96.
2. 0.5.
3. 0.1.
4. 0.36.
5. 0.16.
Question 3. To determine what size is Bayes' formula?
1. To determine the probability of an event, opposite event E.
2. To determine the total probability of the event.
3. To determine the probability of the event, subject to occurrence of an event E.
4. To determine the probability of occurrence of an event or E.
5. To determine the probability of occurrence in a series of independent trials the event E after the event.
Question 4. The shooter hits the target with a probability of 0.6. Is this the most probable number arrow hits the target with 6 shots?
1. 2.
2. 3.
3. 4.
4. 5.
5. 6.
Question 5. The probability of acceptable products automatic manufacturing machine is 0.9. Chance of manufacture of the product first grade this machine is 0.8. What is the probability that a randomly taken from the fit, the product will be the first grade?
1.
2. 0.72.
3. 0.8.
4. 0.6.
5. 0.98.
Task 4
Question 1. What is called the curve of probability?
1. A plot of the probability of hitting the target from the range to the target.
2. The graph of the function.
3. scrap binomial distribution curve.
4. The graph of the function.
5. Schedule function.
Question 2. Why use a local Laplace theorem?
1. For an approximate determination of the probability of occurrence of an event exactly m times with n repeated independent trials.
2. To find the maximum of the probabilities.
3. To find the point of intersection with the axis of the probabilities of Ox.
4. To find the minimum of the curve of probability.
5. Statistical analysis of the results of repeated independent trials.
Question 3. What is the asymptotic formula Poisson?
1.
2.
3.
4.
5..
Question 4. In what condition is permissible to use the asymptotic formula Poisson?
1.
2.
3.
4.
5..
Question 5. Let n - number of independent trials, each of which the probability of an event A is equal to p. What is the limit of the probability that the number m of occurrences of A at trial satisfies n if n is unlimited increases?
1. where  = np.
2.
3. 1.
4. 0.
5..
Task 5
Question 1. In which case we say that a discrete random variable X, which has k possible values, defined?
1. If you know the outcome of the test, which determines the value of the random variable X.
2. If you know all possible values \u200b\u200bof k random variable X.
3. If you know the (set) all possible values \u200b\u200bof the random variable X, and the corresponding probabilities.
4. If the k values \u200b\u200bare given the likely outcome of the test.
5. If you specify minimum and maximum values \u200b\u200bof the random variable X.
etc.



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