The Average At Which People First Engage In...

Anonymous

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The average at which people first engage in reckless behaviorcan be modeled by 0 t<0 f(t)= 7e^-7t t>or = 0 t is measured in centuries. Verify this is a ProbabilityDensity Function

 

Answer No.1

Anonymous

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Integral of 7e^(-7t)=7 e^(-7t)/(-7)= -e^(-7t). At t=0, this is -1, at t=∞ this is 0. So the integral is 0-(-1)=1. Hence a pdf.

Answer No.2

Anonymous

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We know that integration of 7e-7t = 7.e-7t/-7 = - e-7t for t =0 integration becomes -e0= 1 & for t < 0 integration becomes = 0 ( given) so 0 - (-1) =1 hence its is a probability density function

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