Question regarding letter c can an expected value be an infi

Question regarding letter (c), can an expected value be an infinity?

(Ross Problem 5.4) The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by 10/2 if x > 10 0 20). (b) What is the cumulative distribution function of X? (c) Find EX if it exists.

The value of E(X) is infinity means the mean value does not exists for the given probability density function