Question

1. (10) Federal Government Service Commission (FGSC) test the recent graduates for their open positions for selecting public servant. The test scores are normally distributed with a mean of 1000 and a standard deviation of 200. Jerry wants to be a public servant and he knows that he must score better than at least 88% of the students who took the test. Tom takes the test and scores 910. Will he be public servant?

Answer 1

Given:

Mean = = 1000

Standard deviation = = 200

Let X be the test score are normally distributed with a mean of 1000 and a standard deviation of 200.

As Tom score of 910 is below the 88th percentile of test scores. He does not qualify to be a public servant.