DHS 18.2 - Option 4. 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)

1.4. The probability of hitting the target with one shot is equal to 0.6; SW X - number of target lesions at four shots.

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.
3.4. DM X is subject to the Poisson law with mean equal to 3. Find the probability that X SV take a value less than its expectation.

4. Solve the following problems.
4.4. As a result of the medical examination of 900 recruits found that their average weight of 1.2 kg more than the average weight of recruits in one of the preceding periods. What is the probability of this deviation, if the standard deviation is equal to the mass of conscripts 8 kg?