Suppose that you work for the government sector for water resources management. Your section is responsible to estimate the required amount of water for household use. Assume that the volume of daily water use per household in North America follows a normal distribution. The mean volume of daily water use is 138 gallons per household and the standard deviation is 46 gallons. Question 1. Sketch the distribution of daily water use (in gallon) per household in North America. Clearly label x and y-axis. Question 2. Find the probability that a randomly selected household in North America uses less than 69 gallons of water per day. Calculate the z-value using the formula and find the probability using the z-table or technology (e.g. calculator). Show your work Question 3. Find the probability that a randomly selected household in North America uses greater than 161 gallons of water per day. Calculate the z-value using the formula and find the probability using the z table or technology (e.g. calculator). Show your work. Question 4. Find the probability that a randomly selected household in North America uses between 69 and 161 gallons of water per day. Show your work. Question 5. Find the 90th percentile of the value of daily water use per household in gallons. Use the formula of z-score and either z-table or technology (e.g. calculator). Show your work.
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The x-axis would represent the volume of daily water use in gallons and the y-axis would represent the probability density. Question 2: Show moreā¦
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