Question: personnel tests are designed to test a job applicants cognitive...

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 approximately normal with mean 71 and standard deviation 6.7. a. A particular employer requires job candidates to score at least 75 on the dexterity test. Approximately what percentage of the test scores during the past year exceeded 75​? b. The testing service reported to a particular employer that one of its job​ candidate's scores fell at the 98th percentile of the distribution​ (i.e., approximately 98​% of the scores were lower than the​ candidate's, and only 2​% were​ higher). What was the​ candidate's score?

a. Approximately______% of the test scores during the past year exceeded 75.​(Round to one decimal place as​ needed.)