Random Variables

NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Measures of Centre of Discrete Random Distribution

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

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

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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

Apply probability distributions in solving problems