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11.06 Normal distribution probabilities

Interactive practice questions

The diagram shows the curve of a standard normal curve.

Use this curve to answer the following.

A standard normal curve is shown. The right side of the area under the curve is shaded starting from zero and extends to the right.
a

What is the area above the mean of the normal curve?

b

What is the area below the mean of the normal curve?

Easy
< 1min

The given table gives us the area between $0$0 and a given $z$z-score.

Using the table, find the area under the normal curve between one standard deviation(s) below the mean and two standard deviation(s) above the mean.

Give your answer to four decimal places.

Easy
2min

The given table gives us the area between $0$0 and a given $z$zscore.

Using the table, find the area under the normal curve between $1.60$1.60 and $1.80$1.80 standard deviations above the mean.

Give your answer to four decimal places.

Easy
2min

The given table gives us the area between $0$0 and a given $z$z score.

Using the table, find the area under the normal curve to the left of $z=1.15$z=1.15.

Give your answer to four decimal places.

Easy
2min
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Outcomes

AII-S.IC.4

Given a simulation model based on a sample proportion or mean, construct the 95% interval centered on the statistic (+/- two standard deviations) and determine if a suggested parameter is plausible.

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