DHS 18.2 - Option 17. 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)

1.17. The probability of failure of the device during the test reliability is 0.2; SW X - number of devices failed to work among the five tested.

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.
3.17. Trams go this route at an interval of 5 minutes. Passengers coming to the tram stop at some point in time. What is the probability of a passenger not earlier than 1 minute after the departure of the previous tram, but not later than 2 minutes prior to departure of the next tram?

4. Solve the following problems.
4.17. The expectation of the number of drop-down for the year in the area of precipitation is 60 cm. Determine the probability that a fall of at least 180 cm in the area of precipitation.