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4. Consider an experiment in which you count the number of decays from a radioactive sample in a short time interval At starting at t-0. The distribution for this kind of experiment is the exponential function: f(t) where ? is a positive constant. (a) Sketch this function (The distribution is zero for t<0 because the experiment begins at t-0. (b) Show that the function is properly normalized. (c) Find the mean time <t> of the distribution.Please show all work. Thx

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下) is positive Constant Jit) lesc x inleqatei o its entire donain.c mean tie of dkshbution ず -tdt mlan time

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