Business Stats fraction of calls

label Statistics
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A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 3.70 minutes and the standard deviation was 0.60 minutes.

What fraction of the calls last between 3.00 and 5.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

 
Sep 23rd, 2015

Thank you for the opportunity to help you with your question!

z value=x-mean/SD

Z1=3.00-3.70/0.60

Z2=5.50-3.70/0.60

z1=-1.17 table value=0.1210

z2=3.00 table value=0.9987

fraction=0.9987-0.1210

=0.8777


Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 23rd, 2015

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