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8.06 Probabilities and the normal distribution

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

MS2-12-2

analyses representations of data in order to make inferences, predictions and draw conclusions

MS2-12-7

solves problems requiring statistical processes, including the use of the normal distribution and the correlation of bivariate data

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