1) All applicants at a large university are required to take a special entrance exam before they are admitted. The exam scores are known to be normally distributed with a mean of200and a standard deviation of70. Applicants must score130or more on the exam before they are admitted.

(a) What proportion of all applicants taking the exam is granted admission? (Round your answer to four decimal places.)

(b) What proportion of all applicants will score340or higher on the exam? (Round your answer to four decimal places.)

(c) For the coming academic year,2600applicants have registered to take the exam. How many do we expect to be qualified for admission to the university? (Round your answer to the nearest whole number.)

applicants

2) The average amount of time that students use computers at a university computer center is 36 minutes with a standard deviation of 5 minutes. The times are known to be normally distributed. Around 10,000 uses are recorded each week in the computer center. The computer center administrative committee has decided that if more than 2000 uses of longer than 40 minutes at each sitting are recorded weekly, some new terminals must be purchased to meet usage needs. Should the computer center purchase the new computers? (Round your percent to two decimal places, and round the number of computer users to the nearest user.)

About___________% of uses will be longer than 40 minutes. Out of 10,000 uses per week this means that____________will be longer than 40 minutes. The computer center(should/ should not ) purchase new computers.