The MTA’s daily operating profit is normally distributed with a mean of -30 million dollars (that’s negative 30) and an SD of 50 million dollars. The new mayor of NYC needs to communicate this information to the public, and asks you to give her a range of daily revenues, which contain 90% of the possible values. Give her two numbers, a lower and upper bound, so that there’s a 5% chance that the daily revenue is less than the lower bound, and a 5% chance it is more than the upper bound.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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The MTA’s daily operating profit is normally distributed with a mean of -30 million dollars (that’s negative 30) and an SD of 50 million dollars. The new mayor of NYC needs to communicate this information to the public, and asks you to give her a range of daily revenues, which contain 90% of the possible values. Give her two numbers, a lower and upper bound, so that there’s a 5% chance that the daily revenue is less than the lower bound, and a 5% chance it is more than the upper bound.

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