document.write( "Question 321051: Thickness measurments of ancient prehistoric Native American pot shards discovered in a Hopi Village were approximately normally distributed with a mean of 5.1mm and standard deviation of 0.9 mm. For 500 randomly selected shards, about how many would you expect to be between 3.2mm and 6.8mm thick? Find P 30,(the 30 is on the right side of the P but smaller) for the shard thickness? \n" ); document.write( "
Algebra.Com's Answer #229921 by stanbon(75887)\"\" \"About 
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Thickness measurments of ancient prehistoric Native American pot shards discovered in a Hopi Village were approximately normally distributed with a mean of 5.1mm and standard deviation of 0.9 mm.
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\n" ); document.write( "\n" ); document.write( "For 500 randomly selected shards, about how many would you expect to be between 3.2mm and 6.8mm thick? Find P 30,(the 30 is on the right side of the P but smaller) for the shard thickness?
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\n" ); document.write( "z(3.2) = (3.2-5.1)/0.9 = -2.111
\n" ); document.write( "z(6.8) = (6.8-5.1)/0.9 = 1.89
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\n" ); document.write( "P(3.2 < x < 6.8) = P(-2.11 < z < 1.89) = 0.9532
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\n" ); document.write( "# = 0.9532*500 = 476.6
\n" ); document.write( "Round up to # of shards = 477
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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