Mathematical Methods — Question 4

QCAA 2020, Paper 1 · 1 mark

Q4 · 2020 · Technology-freeSimple familiar1 mark

QUESTION 4

Pulse rates of adult men are approximately normally distributed with a mean of 70 and a standard deviation of 8. Which of the following choices correctly describes how to determine the proportion of men that have a pulse rate greater than 78?

(A)

Determine the area to the left of

z=1

under the standard normal curve.

(B)

Determine the area to the right of

z=1

under the standard normal curve.

(C)

Determine the area to the right of

z=-1

under the standard normal curve.

(D)

Determine the area between

z=-1

and

z=1

under the standard normal curve.

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer B

1 mark

ANSWER

Worked solution

z=(78-70)/8=1

. A pulse rate greater than 78 corresponds to the area to the right of

z=1

, so B.

Selects option B.

[1 mark]

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

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Mathematical Methods — Question 4

QUESTION 4

Answer B

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