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

Week 4 Test



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Written Nov 25, 2025 10:23 AM - Nov 25, 2025 11:07 AMAttempt 1 of 2
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- 9
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5%

Question 1 point

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
47.8 cm and a standard deviation of 3.72 cm (Ovegard, Berndt & Lunneryd, 2012).
Assume the length of fish is normally distributed. What is the length in cm of the
longest 10% of Atlantic cod in this area? Round answer to 2 decimal places.
Answer:


52.57

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Longest 10% is in the 90th percentile.
In Excel,
=NORM.INV(.90,47.8,3.72)

Question 2 point

Find the area under the standard normal distribution to the left of z = -1.35. Round
answer to 4 decimal places. Answer:


0.0885

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In Excel,

, =NORM.S.DIST(-1.35,TRUE)

Question 3 point

The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard
deviation is about 66 mm ("Annual maximums of," 2013). Assume rainfall is
normally distributed. How many yearly mm of rainfall would there be in the top
15%? Round answer to 2 decimal places. Answer:


202.40

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Top 15%, is in the bottom 85% percentile.
In Excel,
=NORM.INV(.85,134,66)

Question 4 point

Which type of distribution does the graph illustrate?




Poisson Distribution


Right skewed Distribution