Introductory Econometrics: A Modern Approach 6th Edition by Jeffrey M Wooldridge

Exercise 6

(Requires calculus) Let X denote the prison sentence, in years, for people convicted of auto theft in a particular state in the United States. Suppose that the pdf of X is given by f (x) = (1/9)x2, 0 <3. use="" integration="" to="" find="" the="" expected="" prison="" sentence.<="" p=""> <3.>

Step 1 of 2

The probability distribution function of prisoner’s sentence, in years, for people of auto theft is given as:

To calculate the expected prison sentence, integrate the probability distribution function and substitute the limits provided.