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sleet_krkn [62]
3 years ago
9

Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the bl

ank. About​ ______% of the area is between z2 and z2 ​(or within 2 standard deviations of the​ mean). About nothing​% of the area is between z2 and z2 ​(or within 2 standard deviations of the​ mean).
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

95%

Step-by-step explanation:

About 95% of the area is within two standard deviation in standard normal distribution. This can be explained by finding the probability within 2 standard deviation using standard normal distribution.

P(z1<Z<z2)=P(-2<Z<2)

P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)

P(-2<Z<2)=0.4772+0.4772

P(-2<Z<2)=0.9544

Thus, About 95% of the area is between z2 and z2

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Step 1: Write out an equation

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Answer:

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Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

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Standard deviation of the population of box weights = 24 pounds

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For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

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2 years ago
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Image attached

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