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A sample of 100 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution isnormal, how many cans of peas will fall between 12.6 and 15.4 ounces?909510099

User JustNeph
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1 Answer

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Answer: 95 cans

Given:

100 cans of peas

mean = 14 ounces

standard deviation = 0.7

We need to find:


P\left(12.6<p>This will equate to:</p>[tex]\begin{gathered} P\left((12.6-14)/(0.7)We will then subtract the probabilities:[tex]\begin{gathered} P(z<2)-P(z<-2) \\ \Rightarrow0.9772-0.0228=0.9544=95.44\% \end{gathered}

Which is approximately close to 95%. Since there are 100 cans, we could also say that there are 95 cans that fall between 12.6 and 15.4 ounces.

User Gire
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