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8.06 Calculations with the standard and general 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

Using your calculator, find the area under the normal curve to the left of $z=1.45$z=1.45.

Give your answer to four decimal places.

Easy
1min

Using your calculator, find the area under the normal curve to the right of $z=1.58$z=1.58.

Give your answer to four decimal places.

Easy
1min
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Outcomes

4.2.6

identify features of the graph of the probability density function of the normal distribution with mean μ and standard deviation σ and the use of the standard normal distribution

4.2.7

calculate probabilities and quantiles associated with a given normal distribution using technology, and use these to solve practical problems

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