document.write( "Question 1134222: Question No. 7
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document.write( "A study conducted among 29-year-old male, acetone levels were normally distributed with a mean of 1070 and a standard deviation of 311 ppb. Find the probability that on a given day the subject’s acetone level is:
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document.write( "a. Between 700 and 1100 ppb
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document.write( "b. Over 1000 ppb
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document.write( "c. Under 600 ppb
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document.write( "d. Between 1000 and 1200 ppb
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document.write( "Question No. 8
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document.write( "The weights of a certain population of young adult females are approximately normally distributed with a mean of 231 pounds and a standard deviation of 21. Find the probability that a subject selected at random from this population will weigh:
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document.write( "a. More than 175 pounds
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document.write( "b. 121 pounds or less
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document.write( "c. Between 115 and 155 pounds\r
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Algebra.Com's Answer #751524 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! z=(x-mean)/sd \n" ); document.write( "z is between -370/311 or -1.19 and 30/311, or 0.10 and probability is 0.4228\r \n" ); document.write( "\n" ); document.write( "over 1000 has z of -70/311 or -0.225 and probability is 0.5890\r \n" ); document.write( "\n" ); document.write( "under 600 has z of -470/311 or -1.51 and probability of 0.0655\r \n" ); document.write( "\n" ); document.write( "between 1000 and 1200 has z of -0.225 and 130/311 or +0.42 and probability of 0.2518\r \n" ); document.write( "\n" ); document.write( "same approach \n" ); document.write( "z>(175-231)/21 or z>-2.67 probability of 0.9962 \n" ); document.write( "121 or fewer is probability of 0 by inspection. It is more than 5 sd s below the mean. \n" ); document.write( "between 115 and 155 is essentially fewer than 155 or z <- 76/21 (-3.62) probability is 0.00015 \n" ); document.write( " |