MATH 302 Week 4 Knowledge Check | Score 19/20 | American Public University

Week 4 Knowledge Check Homework Practice Questions



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Written Nov 25, 2025 5:42 AM - Nov 25, 2025 6:40 AMAttempt 1 of 4

- 9
Attempt Score
5%

- 9
Overall Grade (Highest Attempt)
5%

Question 1 point

Find P(Z ≤ 3). Round answer to 4 decimal places. Answer:


___0.9987___

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In Excel,
=NORM.S.DIST(3,TRUE)

Question
point
2

The size of fish is very important to commercial fishing. A study conducted in 2012
found the length of Atlantic cod caught in nets in Karlskrona to have a mean of
49.9 cm and a standard deviation of 3.74 cm (Ovegard, Berndt & Lunneryd, 2012).
Assume the length of fish is normally distributed. What is the length in cm of the
longest 15% of Atlantic cod in this area? Round answer to 2 decimal places.
Answer:


___53.78___

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Longest 15% is the upper 85%, 1 - .15 = .85
In Excel,

, =NORM.INV(0.85,49.9,3.74)

Question 3 point

Arm span is the physical measurement of the length of an individual's arms from
fingertip to fingertip. A man's arm span is approximately normally distributed with
mean of 70 inches with a standard deviation of 4.5 inches. Find length in inches of
the 99th percentile for a man's arm span. Round answer to 2 decimal places.
Answer:


___80.47___

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In Excel,
=NORM.INV(0.99,70,4.5)

Question
point
4



Which type of distribution does the graph illustrate?