DHS 18.2 - Option 15. Decisions Ryabushko AP

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DHS 18.2 - Option 15. 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)

1.15. Two workers producing the same type of products, allow the production of second-class products with probabilities equal to 0.4 and 0.3 respectively. Each worker is taken on 2 products; SW X - the number of second-class products among them.

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.
3.15. From point C being the firing of the guns along the line SC. It is assumed that the range is normally distributed with a mean of 1000 m and a standard deviation of 5 m. Determine the (percentage) as shells fall with flight from 5 to 70 m.

4. Solve the following problems.
4.15. The probability of occurrence of an event in a separate trial is 0.6. Applying Bernoulli´s theorem to determine the number of independent trials, at which the probability of the event frequency deviation from its probability in absolute value is less than 0.1, more than 0.97.

Additional information

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


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