# DHS 18.2 - Option 16. Decisions Ryabushko AP

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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)

1.16. 90% of panels manufactured in the factory of concrete products - premium; SW X - the number of premium panels of four taken at random.

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.
3.16. DM X is normally distributed with mean 40 and variance 100. Calculate the probability of DM X at the interval (30; 80) hit.

4. Solve the following problems.
4.16. The daily consumption of water in the village is a random variable, the standard deviation which is equal to 10 000 liters. Estimate the probability that the water flow rate at this point during the day expectation deviates from the absolute value of more than 25,000 liters.