Researchers are concerned about the binge drinking behaviors at a local university among members of greek life organizations. assume the college reported that binge drinking was observed in 31% of students attending the university. the research team conducts a sample of 213 students involved in a greek life organization on campus and finds that 94 have reported binge drinking behaviors at least once that year. can researchers carry out their analysis assuming an approximation to the normal distribution is acceptable?

calculate the probability of observing the results witnessed in the sample.
determine the mean and standard deviation for this distribution under the assumption made under the normal approximation. if the normal approximation is not applicable, state "not applicable".