Homework Sourse13 In the absolutely continuous model in which omega is the
13. In the absolutely continuous model in which omega is the interval [0, 3] and probabilities are determined by the density function f(x) = cx^2, what is the value of c? ![13. In the absolutely continuous model in which omega is the interval [0, 3] and probabilities are determined by the density function f(x) = cx^2, what is the](/WebImages/31/13-in-the-absolutely-continuous-model-in-which-omega-is-the-1089056-1761573127-0.webp "13. In the absolutely continuous model in which omega is the interval [0, 3] and probabilities are determined by the density function f(x) = cx^2, what is the")
Solution
For a probability density function,
integral ( from 0->3 ) f(x) dx = 1
=>integral ( from 0->3 ) cx^2 dx = 1
=>( from 0->3 ) cx^3/3 = 1
=> c * 27/3 =1
=> c = 1/9 Answer
