document.write( "Question 293362: The weights of lemons in a large crate have a distribution with μ = 136 grams and σ = 4.1 grams. Consider the random process of picking three lemons independently and putting them in a bag. The standard deviation of the total weight of the three lemons in the bag is? What would be the best way to work this out?\r
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Algebra.Com's Answer #211788 by stanbon(75887)\"\" \"About 
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The weights of lemons in a large crate have a distribution with μ = 136 grams and σ = 4.1 grams. Consider the random process of picking three lemons independently and putting them in a bag. The standard deviation of the total weight of the three lemons in the bag is? What would be the best way to work this out?
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\n" ); document.write( "The central limit theorem says.
\n" ); document.write( "1. the mean of the sample means = the mean of the population.
\n" ); document.write( "2. the std of the sample means = (the std of the pop)/sqrt(sample size)
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\n" ); document.write( "Your Problem:
\n" ); document.write( "The std for all possible samples of size 3 is 4.1/sqrt(3)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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