In a study of facial behavior, people in a control group are timed for eye contact in a 5 minute period. Their times are normally distributed with a mean of 184 s and a standard deviation of 55 s. (based on real data)

a. It has been found that nonparanoid schizophrenics have an eye contact time of 230 s or above. What is the probability that someone could be selected at random from the population and found to have an eye contact time of 230 s?

b Paranoid schizophrenics comprise the upper 2% of the population. What is the eye contact time associated with that percentile

***need equations and calculations****