Random Variables

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

Discrete Random Variable

A coin is tossed three times and the total number of tails is recorded.

a

Can this experiment be represented by a discrete random variable?

Yes

A

No

B

Yes

A

No

B

b

If $X$`X` represents the number of possible tails in the three coin tosses, list all the possible outcomes of the experiment.

Write all the outcomes on the same line, separated by commas.

Easy

Less than a minute

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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