Math 246 Project 5 Sample KEY

# Math 246 Project 5 Sample KEY - KEY P roject F ive P...

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Project Five Problem Talk Time On a Cell Phone: Suppose the talk time in digital mode on a Motorola Timeport P8160 is approximately normally distributed with mean 324 minutes and standard deviation of 24 minutes. A.) What proportion of the time will a fully charged battery last at least 300 minutes? B.) What proportion of the time will a fully charged battery last less than 340 minutes? C.) Suppose you charge the battery fully. What is the probability it will last between 310 and 350 minutes? D.) Determine the talk time that is in the top 20%. E.) Determine the talk time that makes up the middle 90% of talk time. A.) P( X 300) = 0.8413. So, about 84% of the time, a fully charged battery will last at least 300 minutes. B.) P( X < 340) = 0.748. So, about 75% of the time, a fully charged battery will last less than 340 minutes. C.) P( 310 < X < 350) = 0.581. So, about 58% of the time, a fully charged battery will last between 310 and 350 minutes. D.)

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## This note was uploaded on 05/17/2010 for the course MATH 246 taught by Professor Applebaugh during the Spring '10 term at University of Toronto.

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Math 246 Project 5 Sample KEY - KEY P roject F ive P...

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