ИДЗ 18.2 – Вариант 22. Решения Рябушко А.П.

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)

1.22. The probability of failure of each of the three blocks of the device during the warranty period is equal to 0.3; SW X - the number of blocks that fail during the warranty period.

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.
3.22. Diameter bearings manufactured at the plant, is a random variable normally distributed with a mean of 1.5 cm and a standard deviation of 0.04 cm. Find the probability that the size of the bearing taken at random between 1 and 2 cm.

4. Solve the following problems.
4.22. Taking the probability of ripening corn stalk with three cobs of 0.75, estimated using the Chebyshev inequality probability that among 3000 pilot area stems from these stems will be 2190 to 2310 inclusive.

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