Question: he random variable T describes when an atom of a certain radioactive element decays after start time t = 0. T has the probability density

he random variable T describes when an atom of a certain radioactive element decays after start time t = 0. T has the probability density function {h(t): 0 t<0, e^-t t0. Find the half-life of the element in question, i.e. the value of t such that P(T t) = . Round to 4 decimal places if necessary.

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