document.write( "Question 471784: The weight of a miniature Tootsie Roll is normally distributed with a mean of 3.30 grams and standard deviation of 0.13 grams.
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Algebra.Com's Answer #323553 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "The weight of a miniature Tootsie Roll is normally distributed with a mean of 3.30 grams and standard deviation of 0.13 grams
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document.write( "(a) Within what weight range will the middle 95 percent of all miniature Tootsie Rolls fall?
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document.write( "Within 2 sd of the mean: sd=.13  range will be: 3.04 to 3.56\r
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document.write( "P(x>3.50)    
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document.write( " |z = (3.50-3.30)/.13 = 1.5385
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document.write( " P(x > 3.50)= 1 -P( z ≤ 1.5385) = 1- .938 = .062\r
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document.write( "P(between 3.25 abd 3.45)     
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document.write( "|z = (3.25-3.30)/.13 = -.3846  and z = (3.45-3.30)/.13 = 1.1538
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document.write( "P(between 3.25 abd 3.45) = P(z ≤ 1.1538)- P(z ≤ -.3846) = .8757 - .3503 = .5254 \n" );
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