DHS 18.2 - Option 26. 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)

1.26. The probability of hitting the ball in the basket at each roll for the basketball is 0.4; SW X - the number of hits during the four throws.

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.
3.26. Find the expectation and variance: a) the number of points that fell in a single toss of the dice; b) the amount of points that fell in throwing two dice.

4. Solve the following problems.
4.26. The expectation of the number of drop-down for the year in the area of precipitation is 55 cm. Rate probability that falls more than 175 cm in the area of precipitation.