Topics
8. Discrete random variables
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AustraliaVIC
VCE 12 Methods 2023

8.02 Discrete probability distributions

Lesson
Worksheet
Practice

Interactive practice questions

Is the following a probability distribution?

$x$x $2$2 $4$4 $6$6 $8$8
$p\left(x\right)$p(x) $0.2$0.2 $0.4$0.4 $0.6$0.6 $0.8$0.8

No

A

Yes

B
Easy
< 1min

Is the following a probability distribution?

Easy
< 1min

Is the following a probability distribution?

Easy
< 1min

Is the following a probability distribution?

Easy
< 1min
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Outcomes

U34.AoS4.5

the concepts of a random variable (discrete and continuous), Bernoulli trials and probability distributions, the parameters used to define a distribution and properties of probability distributions and their graphs

U34.AoS4.2

discrete random variables: - specification of probability distributions for discrete random variables using graphs, tables and probability mass functions - calculation and interpretation of mean, 𝜇, variance, 𝜎^2, and standard deviation of a discrete random variable and their use - Bernoulli trials and the binomial distribution, Bi(𝑛, 𝑝), as an example of a probability distribution for a discrete random variable - effect of variation in the value(s) of defining parameters on the graph of a given probability mass function for a discrete random variable - calculation of probabilities for specific values of a random variable and intervals defined in terms of a random variable, including conditional probability

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