DHS 18.2 - Option 24. 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)

1.24. 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.

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

4. 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.