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Grade 12

Expected Value of Continuous Random Distribution

Interactive practice questions

Consider the probability density function drawn below.

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a

State the function $p\left(x\right)$p(x).

$p\left(x\right)=$p(x)= $\editable{}$ when $\editable{}\le x\le\editable{}$x
$\editable{}$ otherwise
b

Use integration to determine the expected value of a random variable $X$X if it is distributed according to $p\left(x\right)$p(x).

Easy
4min

Consider the probability density function drawn below.

Easy
3min

Consider the probability density function drawn below.

Easy
4min

Consider the probability density function $p\left(x\right)=\frac{1}{40}$p(x)=140 when $10\le x\le50$10x50.

Easy
1min
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Outcomes

12D.B.2.2

Recognize standard deviation as a measure of the spread of a distribution, and determine, with and without technology, the mean and standard deviation of a sample of values of a continuous random variable

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