An exclusive College desires to accept only the top 8% of all graduating seniors based on the results of a national placement test. This test has a mean of 700 and a standard deviation of 150. Find the cutoff score for the exam. Assume the variable is normally distributed.

(b) In a given normal distribution, if the mean is 500 and 4.65% of the distribution lies to the right of 580, what is the standard deviation?