Question: Consider the E(t) curve below. A graph is shown, with t (in minutes) on horizontal axis and E of t (minutes inverse) on vertical axis.

Consider the E(t) curve below. E(t) min-1 0 T Hemi (half) circle 20 t, min

A graph is shown, with t (in minutes) on horizontal axis and E of t (minutes inverse) on vertical axis. A hemi (half) circular curve starts at the origin and ends at 2 tau on the horizontal axis. It is symmetric about the vertical line at tau. Mathematically this hemi circle is described by these equations: For 212 t 0, then For t> 21, then E(t) = 0 E(t)=12-(t-1)2 min-1 (hemi circle)

a. What is the mean residence time?
b. What is the variance?

E(t) min-1 0 T Hemi (half) circle 20 t, min

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