Q2 · 2022 · Technology-freeSimple familiar1 mark
QUESTION 2
A binomial random variable arises from the number of successes in independent Bernoulli trials. A context not suitable for modelling using a binomial random variable is recording the number of
(A)
heads when a coin is tossed 12 times.
(B)
left-handed people in a sample of 100 people.
(C)
times a player hits a target from 20 shots where each shot is independent of all other shots.
(D)
red marbles selected when three marbles are drawn without replacement from a bag containing four blue and five red marbles.
WORKED SOLUTION
1 markAnswer D
ANSWER
D — red marbles selected when three marbles are drawn without replacement from a bag containing four blue and five red marbles.
Worked solution
A binomial model requires independent trials with a constant probability of success. Drawing marbles without replacement changes the success probability between draws, so D.
Selects option D.
Worked explanation by QCE Vault; correct option verified against the QCAA answer key.
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