Solved: The age, L, in years, of a wolf can be modelled by the normal distribution L ~... [IB Mathematics Applications & Interpretation (AI)]

Solved: The age, L, in years, of a wolf can be modelled by the normal distribution L ~... [IB Mathematics Applications & Interpretation (AI)] | RevisionDojo

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Question

HLPaper 2

The age, L, in years, of a wolf can be modelled by the normal distribution L ~ N(8, 5).

Find the probability that a wolf selected at random is at least 5 years old.

[2]

Verified

Solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

P(L ≥ 5)= 0.910 (M1)A1

[2 marks]

Eight wolves are independently selected at random and their ages recorded.

Find the probability that more than six of these wolves are at least 5 years old.

[3]

Verified

Solution

X is the number of wolves found to be at least 5 years oldrecognising binomial distribution M1

X ~ B(8, 0.910…)

P(X> 6)= 1 − P(X ≤ 6) (M1)

=0.843 A1

Note: Award M1A0 for finding P(X ≥ 6).

[3 marks]

Mathematics Applications & Interpretation (AI) International Baccalaureate (IB) Practice Question: The age, L, in years, of a wolf can be modelled by the normal distribution L ~ N(8, 5). 1. Find the probability that a...