L"' ' \" _l A ' \"" AI _""_' \"" A! ' \"" VI ' ' \"" 'I'J 6 (Requires calculus) Let X denote the prison sentence, in years, for people..."

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:

L“""‘ ‘ \“ _l A ‘ \“ AI _“_‘ \“ A! ‘ \“ VI ' ‘ \“ ‘I'J 6 (Requires calculus) Let X denote the prison sentence, in years, for people convicted of auto theft in aparticular state in the United States. Suppose that the pdf of X is given by f(x) = (1/9)x1, 0 < x < 3. Use integration to find the expected prison sentence.