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$68−95−99.7 rule.
Which value is closest to the $0.5$0.5 quantile?
$1$1
$-2$−2
$3$3
$0$0
Which value is closest to the $0.84$0.84 quantile?
$2$2
$1$1
$-1$−1
$-2$−2
Which value is closest to the $16$16th percentile?
$-2$−2
$3$3
$-1$−1
$-3$−3
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.
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.
Consider a normal distribution defined by $X$X$~$~$N\left(50,25\right)$N(50,25).
Use the $68-95-99.7$68−95−99.7 rule to answer the following questions.