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Standard level

8.02 Calculations with standard and normal distributions

Interactive practice questions

Consider the graph of a standard normal distribution showing the $68-95-99.7$689599.7 rule.

a

Which value is closest to the $0.5$0.5 quantile?

$1$1

A

$-2$2

B

$3$3

C

$0$0

D
b

Which value is closest to the $0.84$0.84 quantile?

$2$2

A

$1$1

B

$-1$1

C

$-2$2

D
c

Which value is closest to the $16$16th percentile?

$-2$2

A

$3$3

B

$-1$1

C

$-3$3

D
Easy
1min

Using your calculator, find the area under the normal curve between $1.10$1.10 and $1.60$1.60 standard deviations above the mean.

Give your answer to four decimal places.

Easy
1min

For the standard normal variable $X$X$~$~$N\left(0,1\right)$N(0,1), use a graphics calculator to determine the following values.

Round your answers to three decimal places.

Easy
2min

Consider a normal distribution defined by $X$X$~$~$N\left(50,25\right)$N(50,25).

Use the $68-95-99.7$689599.7 rule to answer the following questions.

Easy
2min
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