Mathematics — Probability · continuous-density-functions
Problem
Suppose you choose at random a real number X from the interval [2,10].
(a) Find the density function f(x) and the probability of an event E for this experiment, where E is a subinterval [a,b] of [2,10].
(b) From (a), find the probability that X>5, that 5<X<7, and that X2−12X+35>0.