New Zealand
Level 8 - NCEA Level 3

# Measures of Centre of Discrete Random Distribution

## Interactive practice questions

Consider the table.

 $x$x $P$P$($($X=x$X=x$)$) $0$0 $1$1 $2$2 $3$3 $4$4 $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

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
Approx 2 minutes

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

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

### Outcomes

#### S8-4

Investigate situations that involve elements of chance: A calculating probabilities of independent, combined, and conditional events B calculating and interpreting expected values and standard deviations of discrete random variables C applying distributions such as the Poisson, binomial, and normal

#### 91586

Apply probability distributions in solving problems