Question: Let X be the temperature in at which a certain chemical reaction takes place, and let Y be the temperature in (so ). a. If

Let X be the temperature in at which a certain chemical reaction takes place, and let Y be the temperature in (so

).

a. If the median of the X distribution is , show that is the median of the Y distribution.

b. How is the 90th percentile of the Y distribution related to the 90th percentile of the X distribution? Verify your conjecture.

c. More generally, if , how is any particular percentile of the Y distribution related to the corresponding percentile of the X distribution?

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