9. Continuous random variables
Interactive practice questions
Consider the graph of a standard normal distribution showing the $68-95-99.7$68−95−99.7 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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