Topics
7. Discrete random variables
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AustraliaAU
Year 12

7.03 Centre and spread of discrete random variables

Lesson
Worksheet
Practice

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 shown.

Easy
1min

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

Easy
1min
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Outcomes

ACMMM137

use relative frequencies obtained from data to obtain point estimates of probabilities associated with a discrete random variable

ACMMM138

recognise uniform discrete random variables and use them to model random phenomena with equally likely outcomes

ACMMM140

recognise the mean or expected value of a discrete random variable as a measurement of centre, and evaluate it in simple cases

ACMMM141

recognise the variance and standard deviation of a discrete random variable as a measures of spread, and evaluate them in simple cases

ACMMM142

use discrete random variables and associated probabilities to solve practical problems

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