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Grade 12

Expected Value of Discrete Random Distribution

Interactive practice questions

Consider the table.

$x$x $0$0 $1$1 $2$2 $3$3 $4$4
$P$P$($($X=x$X=x$)$) $0.1$0.1 $0.45$0.45 $0.15$0.15 $0.05$0.05 $0.25$0.25
a

Does the table represent a discrete probability distribution?

Yes

A

No

B
b

What is the most likely outcome for the random variable $X$X?

c

Calculate $E\left(X\right)$E(X).

Easy
2min

Consider the probability distribution table shown for the random variable $X$X.

Easy
1min

Consider the probability distribution table shown for the random variable $X$X.

Easy
1min
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Outcomes

12D.B.1.2

Calculate the expected value for a given probability distribution, interpret the expected value in applications, and make connections between the expected value and the weighted mean of the values of the discrete random variable

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