A triangle in the Cartesian plane has vertices: (a, 0), (b, 0), (m, 2 / (b-a)), where: a, b, m are real numbers such that a

For the following triangular probability distributions:

b) f (x) = x -1, if x [1,2] and f (x) = 3 -x, if x] 2, 3], it is zero otherwise.

c) f (x) = x / 6, if x [0,3] and f (x) = 2 -x / 2, if x] 3,4], it is zero otherwise

Use simulation to obtain a random sample of 200 values from the distribution. Make a histogram and compare expected values.