Personnel tests are designed to test a job applicant's cognitive and/or physical abilities. A particular dexterity test is administered nationwide by a private testing service. It is known that for all tests administered last year, the distribution of scores was approx. normal with mean 78 and standard deviation 7.8.
a. A particular employer requires job candidates to score at least 83 on the dexterity test. Approximately what percentatge of the test scores during the past year exceeded 83?
b. The testing service reported to a particular employer that one of its job candidate's scores fell at the 95h percentile of the distribution. (approx 95% of the scores were lower than the candidate's, and only 5% were higher) What is the candidate's score?