The random variable x is obtained from the following random process. first, you draw from the uniform[0, 1] distribution. if the value you get is ≤ 0.5, then x is set to equal this value. otherwise, you draw again (i. e. a second, independent draw from the uniform[0, 1] distribution), and x is set to this second value. compute the cdf and the density of x.

b or 2, just plug these equations into your graphing calculator then check the graph to see the image. if it matches up then that's your answer!

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system