PROBABILITY THEORY

Let x-firm revenue in rubles. Z = X * Y in terms of the dollar Y, if revenue X does not depend on the course Y, and the distribution of X and Y are:

Xi 1000 2000

Pi 0.7 0.3

Yi 25 27

Pi 0.4 0.6

Calculate the expectation in two ways: directly and using the properties of the expectation.

What is the 12th term of b(n)=-4-2(n-1)

Select 2 statements that are true about the equation y+6=-10(x-3).1) the slope of the line is -102) the slope of the line is 33) one point on the line is (3,6)4) one point on the line is (3,-6)

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement in