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The of that students use computers at a university computer center is 36 minutes

ID: 2945776 • Letter: T

Question

The of that students use computers at a university computer center is 36 minutes with a standard average amount 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.) time About 96 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 centerSeleet purchase new computers.

Explanation / Answer

here for normal distribution z score =(X-mean)/std deviation

hence P(more than 40 minutes)=P(X>40)=P(Z>(40-36)/5)=P(Z>0.8)=21.19%

about 21.19 % of uses will be..........that 2119 will be longer than 40 minutes. the computer center must purchse new computers