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

Interactive practice questions

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.

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On a popular TV cooking show, contestants are to randomly choose a blue, red or yellow serviette from a box to split themselves into random cooking teams.

The number of pears on each pear tree in an orchard is recorded.

The weights of babies born in a local hospital in the last month have been recorded. One midwife is interested in the probability that the next baby born would weigh more than $2.8$2.8 kg.

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

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