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Mathematical Methods — Question 6

QCAA 2021, Paper 1 · 1 mark

Q6 · 2021 · Technology-freeSimple familiar1 mark

QUESTION 6

A random variable XX is the number of successes in a Bernoulli experiment with nn trials, each with a probability of success pp and a probability of failure qq. The probability distribution table of XX is shown.
kkP(X=k)P(X=k)
01/811/81
18/818/81
224/8124/81
332/8132/81
416/8116/81
Which values of nn, pp and qq will generate this probability distribution?
(A)
n=4, p=23, q=13n=4,\ p=\frac23,\ q=\frac13
(B)
n=4, p=13, q=23n=4,\ p=\frac13,\ q=\frac23
(C)
n=5, p=23, q=13n=5,\ p=\frac23,\ q=\frac13
(D)
n=5, p=13, q=23n=5,\ p=\frac13,\ q=\frac23
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