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Mathematical Methods — Question 8

QCAA 2025, Paper 2 · 1 mark

Q8 · 2025 · Technology-activeSimple familiar1 mark

QUESTION 8

The table shows the probability distribution for a random variable XX in a Bernoulli experiment. The random variable has only two possible values: 0 represents failure and 1 represents success.
xx01
P(X=x)P(X=x)0.60.4
If six Bernoulli experiments are conducted, determine the probability of getting exactly two successes.
(A)
0.1380.138
(B)
0.1600.160
(C)
0.3110.311
(D)
0.3600.360
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