DHS 18.2 - Option 7. Decisions Ryabushko AP

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• 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)

1.7. The probability of hitting the target with one shot is equal to 0.8; SW X - the number of hits the target with three shots.

• 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).

• Solve the following problems.

3.7. The lottery played motorcycle, bicycle, and one clock. Find the expectation of winning for a person with one ticket, if the total number is 100 tickets.

• Solve the following problems.

4.7. Produced sampling party light bulbs to determine the average length of their combustion. What should be the size of the sample to a probability not less than 0.9876, it could be argued that the average duration of the operation for the entire party has deviated from the average light bulb, resulting in a sample of not more than 10 hours, if the standard deviation of the service time bulbs h is 80?

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