Customers experiencing technical difficulty with their internet cable hookup may call an 800 number for technical support. It takes the technician between 30 and 600 seconds to resolve the problem. The distribution of the support times follows the uniform distribution.

(a)What is the mean (expected value) time to resolve the problem?

(b)What percent of the problems take more than 300 seconds?

(c)What is the standard deviation of the random variable?