Question

If the probability density of a random variable is given by f(x) =  x for 0 < x < 1 2− x for 1 ≤ x < 2 0 elsewhere find the probabilities that a random variable having this probability density will take on a value (a) between 0.2 and 0.8; (b) between 0.6 and 1.2.

Answer 1

draw a picture

Answer 2

then find the areas you need. that is the area between \(.2\) and \(.8\)