DHS 18.2 - Option 28. Decisions Ryabushko AP

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DHS 18.2 - Option 28. 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)

1.28. The failure of the gearbox takes place for three main reasons: failure of gear teeth, the unacceptably high contact stresses and excessive rigidity. Each of the causes leading to breakage of the gearbox with the same probability of 0.1; SW X - number of reasons that led to the failure in one trial.

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.
3.28. The growth of males is a random variable distributed according to a normal distribution with mean equal to 170 cm, and a variance equal to 49 cm2. Find the probability that the three randomly selected men will have a height of 170 to 175 cm.

4. Solve the following problems.
4.28. The expectation of deviation from the center of the target when firing on it is 6 cm. To assess the probability that the target shooting in a circular radius of 15 cm will hit the target.

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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