Random Variables

Consider the table.

$x$x |
$0$0 | $1$1 | $2$2 | $3$3 | $4$4 |
---|---|---|---|---|---|

$P$P$($($X=x$X=x$)$) |
$0.12$0.12 | $0.15$0.15 | $0.22$0.22 | $0.23$0.23 | $0.28$0.28 |

a

Does the table represent a discrete probability distribution?

Yes

A

No

B

Yes

A

No

B

b

Calculate $E\left(X\right)$`E`(`X`).

c

Calculate the variance of $X$`X`.

d

Hence calculate the standard deviation.

Give your answer to two decimal places.

Easy

Approx 6 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