Высшая математика, вариант 3

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Uploaded: 01.04.2013
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Task 1
The lottery issued 10,000 tickets and found 10 wins for 5000 rubles., 100 prizes of 1,000 rubles., 500 wins, 250 rubles. and 1,000 prizes of 50 rubles. Citizen bought one ticket. What is the probability that he has:
1) would be a winning ticket
2) that its gain is not less than 250 rubles.?
Task 2
Of the 20 joint-stock companies 4 are bankrupt. Citizen bought one share of JSC six. What is the probability that among these two shares will be shares of bankrupt?
Activity 3
Three hand fall into the target with probability 0.85; 0.8; 0.7. Find the probability that simultaneous firing of all three target shooters are two punched holes.
Task 4
The shoe shop for repairs bring boots and shoes in the ratio of 2: 3. Chance of quality repair Boot 0.9, and for shoes - 0.85. Audited quality one pair of shoes. It turned out that it is qualitatively renovated. What is the probability that it is:
1) boots?
2) shoes?
Task 5
The four arrived at the buyer's warehouse. The probability that each of them need a refrigerator of the brand "A" is equal to 0.4. Find the probability that a refrigerator is required:
1) all four buyers
2) no more than three buyers
3) is not less than two.
Task 6
The device consists of three independently operating elements. The probability of failure of each element is 0.15. Make a series of distributions of the number of failed elements. Record the results in the allocation table. Make a conclusion about the most probable mode of operation.
Task 7
Several distributions of discrete random variable is: ... Record distribution function and build her schedule.
Task 8
For a number of task allocation to find 7 expectation M (X), the variance of D (X) and standard deviation σ (X).
Task 9
Find the mean and variance of Y = 2. X-1, if X is a random variable defined by a table in the job 7.
Task 10
By measuring the obtained table values \u200b\u200bdepending on x and y:
1. Build an empirical regression line
2. Calculate the coefficients of the regression line y with respect to x
3. Write the equation of the regression line y with respect to x
4. Plot the regression on the same field where empirical line built
5. Calculate the correlation coefficient
6. to draw conclusions about the connection between the crowded x and y.

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решение 10 заданий


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