A PDF is given by formula p(x)=2e^(-2x),x>0. Determine P(X>1).?

Question

A PDF is given by formula p(x)=2e^(-2x),x>0. Determine P(X>1).? PDF being Probability Density Function

A PDF is given by formula p(x)=2e^(-2x),x>0. Determine P(X>1).?

Answer 1

Integrate 2e^ (-2x)from 1 to infinity  to determine P(x>1)

 

Antiderivative is -e^(-2x)

 

So if we sub in the limits we get  e^(-2) or approx .135