DHS 18.2 - Option 27. Decisions Ryabushko AP

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DHS 18.2 - Option 27. 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)

1.27. The party of 25 products 6 defective. To control the quality of their randomly selected four products; SW X - the number of defective items among the selected.

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.
3.27. It is believed that the length of the deviation from the standard of manufactured parts is a random variable distributed according to the normal law. Knowing that the sub-length of 40 cm, a standard deviation of 0.4 cm, to determine what length of the article accuracy can be ensured with a probability of 0.8.

4. Solve the following problems.
4.27. The number of sunny days in a year for a given area is a random variable whose expectation is equal to 75 days. Rate the likelihood that in the course of the year in this area will be more than 200 days of sunshine.

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)


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