The PDF of x is f(x) = 2x, 0 < x < 1. (a) Find the CDF of x. (b) Describe how an observation of x can be simulated. (c) Simulate ten observations of x.
a. CDF: F(x) = x²
b. Simulation: Use a uniform random number generator
c. Simulated observations: [0.25, 0.64, 0.81, 0.10, 0.50, 0.30, 0.72, 0.95, 0.45, 0.20]
