Hello, here is a question from my homework for Probability and Statistics. Please show the solution with full explanation. Thank you

5- A new manufacturing plant has 20 job openings. To select the best 20 applicants from among the 1,000 job seekers, the plant's personnel ofce administers a written aptitude test to all applicants. The average score on the aptitude test is 150 points with a standard deviation of 10 points. Assume the distribution of test scores is approximately mound shaped and that you can use the Empirical Rule. a. What percentage of the test scores will fall between 130 and 170 points? b. How many applicants will score between 130 and 170 points? c. One of the applicants scored 192 points on the test. What might you conclude about this test score using 2 score