A study was done to compare the amount of time per day students at public and private universities spend on Facebook. The study was composed of 200 students from a private university and 300 students...

A study was done to compare the amount of time per day students at public and private universities spend on Facebook. The study was composed of 200 students from a private university and 300 students from a public university.  The time that students at a private university spent on Facebook had a normal distribution with of mean of 220 minutes and a standard deviation of 36 minutes.The time that students at a public university spent on Facebook had a normal distribution with a mean of 200 minutes and a standard deviation of 49 minutes. What is the probability that students at a private university spend more time on Facebook than students at a public university?