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7.05 Bernoulli distribution

Interactive practice questions

Which of the following describes a Bernoulli random variable?

Select all that apply.

A dice is rolled. $X=$X=the number appearing uppermost on the dice

A

Two coins are tossed. $X=$X=the number of heads tossed

B

Two coins are tossed. $X=1$X=1 if at least one head shows, $X=0$X=0 if there are no heads showing.

C

A dice is rolled. $X=1$X=1 if an even number shows uppermost, $X=0$X=0 if an odd number shows uppermost.

D
Easy
1min

Which of the following describes a Bernoulli random variable?

Easy
< 1min

A family with three children is chosen at random from the Australian census and whether the family has three girls is observed.

Easy
4min

A dice is rolled once in an experiment and the focus is on whether a $4$4 appears uppermost on the dice.

Easy
1min
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Outcomes

3.3.9

use a Bernoulli random variable as a model for two-outcome situations

3.3.10

identify contexts suitable for modelling by Bernoulli random variables

3.3.11

recognise the mean p and variance p(1−p) of the Bernoulli distribution with parameter p

3.3.12

use Bernoulli random variables and associated probabilities to model data and solve practical problems

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