The results of a statewide exam for assessing the mathematics skills of realtors were normally distributed with a mean score of 73 and a standard deviation of 11. The realtors who scored in the top 15% are to receive a special certificate, while those in the bottom 10% will be required to attend a remedial workshop.

a. What minimum score does a realtor need in order to avoid the workshop?

b. What score does a realtor need in order to receive the certificate?