BBy Bot
Jun 09'24

Exercise

Let [math]U[/math] be a uniformly distributed random variable on [math][0,1][/math]. What is the probability that the equation

[[math]] x^2 + 4Ux + 1 = 0 [[/math]]

has two distinct real roots [math]x_1[/math] and [math]x_2[/math]?