DHS 18.2 - Option 21. Decisions Ryabushko AP

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DHS 18.2 - Option 21. Decisions Ryabushko AP


1. Find the distribution of the said discrete CB X and its distribution function F (x). Calculate the expectation M (X), the variance of D (X) and standard deviation σ (X). Draw the graph of the distribution function F (x)

1.21. In the first group of students from 24 people 4 honors, the second from 22 - 3 honors, the third of 24 - 6 honors and fourth out of 20 - 2 honors; SW X - number of standouts invited to the conference, with the proviso that each group allocated randomly by one person.

2. Dana distribution function F (x) DM X. Find the probability density function f (x), the expectation M (X), the variance of D (X), and the probability of hitting NE X on the interval [a; b]. Construct the graphs of the functions F (x) and f (x).

3. Solve the following problems.
3.21. Produce weighting agent without systematic errors. Random weighing error is normally distributed with a mean of 20 kg and a standard deviation of 2 kg. Find the probability that the next weighting differs from the expectation of not more than 100 g

4. Solve the following problems.
4.21. The number of flat-screen TVs on average 40% of their total output. Using Chebyshev inequality, estimate the probability that the batch of 500 televisions share with flat-screen TVs deviates from the average by no more than 0.06.

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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