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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

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

b

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

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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.

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.

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.

Outcomes

S-IC.4

Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

S-IC.5

Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

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