MATH 200 University of California Irvine Weights & Proportions of Honda Civic Project

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Znegvna138

Mathematics

MATH 200

University of California Irvine

MATH

Description

Show ALL work. If using a calculator, state the programs you are using. Round answers to

three decimal places.

The weight of Honda Civics is normally distributed with mean 2375 pounds and standard

deviation 140 pounds.

1. What proportion on Honda Civics weigh between 2200 pounds and 2400 pounds?

2. Find the probability that a randomly selected Honda Civic weighs more than 2320 pounds.

3. Find the weight that separates the lightest 30% from the heaviest 70% of Honda Civics.

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Explanation & Answer

Here are the solutions of all 3 questions. Let me know if you have any question or want more elaboration. Thanks :)

The weight of Honda Civics is normally distributed with mean 2375 pounds and standard deviation
140 pounds.

𝜇 = 2375 𝑎𝑛𝑑 𝜎 = 140

1. proportion of Honda Civics that weigh between 2200 pounds and 2400 pounds:
P(2200≤x≤2400) = P(x≤2400) – P(x≤2200)
We will first calculate the z-score corresponding to each weight and then subtract the probability value
found from normal distribution for each z.
For 2400 poun...


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