Reshebnik Ryabushko. Solved IDZ 18.2, Option 22
Replenishment date: 07.11.2018
Content: 22v-IDZ18.2.rar (75.01 KB)
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Description
1. Find the distribution law of the indicated discrete CB X and its distribution function F (x). Calculate the mathematical expectation M (X), variance D (X) and standard deviation σ (X). Plot the distribution function F (x)
1.22. The probability of failure of each of the three units of the device during the warranty period is 0,3; SV X is the number of units that failed during the warranty period.
2. Given the distribution function F (x) RV X. Find the probability density f (x), mathematical expectation M (X), variance D (X) and the probability of falling RV X on the segment [a; b]. Build graphs of functions F (x) and f (x).
3. Solve the following tasks.
3.22. The diameter of the bearings manufactured at the factory is a random value distributed normally with a mathematical expectation of 1,5 cm and a standard deviation of 0,04 cm.Find the probability that the size of a bearing taken at random ranges from 1 to 2 cm.
4. Solve the following tasks.
4.22. Assuming the probability of ripening a corn stalk with three ears is 0,75, use Chebyshev's inequality to estimate the probability that, among the 3000 stems of the experimental plot, such stems will be from 2190 to 2310, inclusive.
1.22. The probability of failure of each of the three units of the device during the warranty period is 0,3; SV X is the number of units that failed during the warranty period.
2. Given the distribution function F (x) RV X. Find the probability density f (x), mathematical expectation M (X), variance D (X) and the probability of falling RV X on the segment [a; b]. Build graphs of functions F (x) and f (x).
3. Solve the following tasks.
3.22. The diameter of the bearings manufactured at the factory is a random value distributed normally with a mathematical expectation of 1,5 cm and a standard deviation of 0,04 cm.Find the probability that the size of a bearing taken at random ranges from 1 to 2 cm.
4. Solve the following tasks.
4.22. Assuming the probability of ripening a corn stalk with three ears is 0,75, use Chebyshev's inequality to estimate the probability that, among the 3000 stems of the experimental plot, such stems will be from 2190 to 2310, inclusive.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.