According to the Pew Research Center for the People and the Press, persons in higher age groups tend to spend much more time reading the newspaper. For persons 65 or more years of age who read a newspaper, the average time has been reported as 33 minutes.
Assuming a population standard deviation of 10.0 minutes and a simple random sample of 30 newspaper readers in the 65-or-over age group, what is the probability that members of this group will average at least 35 minutes reading their next newspaper?