DHS 18.2 - Option 13. 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)

1.13. The probability of receiving each of the four radio signals is 0.6; SW X - number of received radio signals.

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.
3.13. The random variable subject to the Poisson law with expectation a = 3. Find the probability that the CB will take a positive value.

4. Solve the following problems.
4.13. The probability of chipping on metal bars made for turning, is 0.2. Rate the likelihood that the party in 1000 bars deviation of the number of suitable bars 800 does not exceed 5%.