A study examined possible reasons for students going on academic probation. Students who spent more than 20 hours a week playing video games were classified as "heavy gamers." Of the 342 students on academic probation in the study, 127 were found to be heavy gamers. p^=.371

Referring to the previous question, consider the distribution of all sample proportions p^ when the sample size is 342. Calculate the mean and standard deviation of this distribution, assuming that p=0.4