DHS 18.2 - Option 24. Decisions Ryabushko AP

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• 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)

1.24. Probabilities of defeats the purpose of each of the three shooters are, respectively, 0.7; 0.8; 0.6; SW X - number of defeats the purpose, provided that each of the shooters made by one shot.

• 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).

• Solve the following problems.

3.24. Find the variance and standard deviation SV X, uniformly distributed in the interval (2, 10).

• Solve the following problems.

4.24. The average wind speed at ground level at a given point is equal to 16 km / h. Estimate the probability that at this point the wind speed does not exceed 80 km / h.

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