DHS 18.2 - Option 11. 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)

1.11. In steady process, the company produces two thirds of its products and first grade 1/3 second; SW X - the number of first grade products from the 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.
3.11. Bus route a go strictly on schedule. Range of motion - five minutes. Find the probability that the passenger approached the bus stop, the bus will wait for the next less than 3 minutes.

4. Solve the following problems.
4.11. The probability of occurrence of an event in one experiment is 0.5. Can with a probability greater than 0.97, assert that the number of occurrences of 1000 independent experiments in the range of 400 to 600?