DHS 18.2 - Option 3. Decisions Ryabushko AP

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DHS 18.2 - Option 3. 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)

1.3. The probability of failure-free operation during the warranty period for the TV of the first type is 0.9, the second type - 0.7, the third type - 0.8; SW X - the number of TVs, worked the warranty period, among the three different types of TVs.

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.
3.3. All values are uniformly distributed NE X lie on the interval [2; 8]. Find the probability of getting into CB X time (3, 5).

4. Solve the following problems.
4.3. The random variable X is the arithmetic average of 3200 independent and identically distributed random variables with mean equal to 3, and a variance equal to 2. Find the probability that X takes the value SV in the interval (2.95; 3.075).

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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