Mathematical Methods — Question 6

QCAA 2021, Paper 2 · 1 mark

Q6 · 2021 · Technology-activeSimple familiar1 mark

QUESTION 6

When seeds of a certain variety of flower are planted, the probability of each seed germinating is 0.8. If eight seeds are planted, what is the probability that at least six seeds will germinate?

(A)

0.797

(B)

0.503

(C)

0.294

(D)

0.001

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer A

1 mark

ANSWER

Worked solution

For

X\sim\operatorname{Bin}(8,0.8)

P(X\ge6)=P(6)+P(7)+P(8)\approx0.7969

, which rounds to 0.797.

Selects option A.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.

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Mathematical Methods — Question 6

QUESTION 6

Answer A

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