Asked by Alejandro Otón García on May 06, 2024
Verified
The mayor of the city of Detroit was informed that household water usage was a normally distributed random variable with a mean of 25 gallons and a standard deviation of 4 gallons per day.
Find the probability that a random chosen household uses more than 23 gallons per day.
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Find the probability that a randomly chosen household uses between 20 and 25 gallons per day.
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Find the probability that a randomly chosen household uses fewer than 21 gallons per day.
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If the mayor wants to give a tax rebate to the 20% lowest water users, what should the gallons per day cutoff be?
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The mayor advertised on a local TV channel for about three weeks his intention to give a tax rebate to the 20% lowest water users. If the advertisement lowered the mean usage of 25 gallons to 21 gallons, what should the gallons per day cutoff be?
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Normally Distributed
A type of distribution in which the data's histogram has a bell-shaped curve, indicating that most values cluster around a central region, with fewer at the edges.
Standard Deviation
A statistical measure of the dispersion or spread of data points in a data set.
Tax Rebate
A refund on taxes paid, typically when the tax liability is less than the taxes paid.
- Understand the concept of normal distribution.
- Calculate probabilities for specified values within a normal distribution.
- Determine cutoff points based on specific percentage criteria within a normal distribution.
Verified Answer
ZK
Learning Objectives
- Understand the concept of normal distribution.
- Calculate probabilities for specified values within a normal distribution.
- Determine cutoff points based on specific percentage criteria within a normal distribution.