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10.06 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

NC.M3.S-IC.4

Use simulation to understand how samples can be used to estimate a population mean or proportion and how to determine a margin of error for the estimate.

NC.M3.S-IC.5

Use simulation to determine whether observed differences between samples from two distinct populations indicate that the two populations are actually different in terms of a parameter of interest.

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