A random process (wide sense stationary) x(t) = A sin20t + ϕ) where ϕ is a random variable uniformly distributed over [-π, π] is input to LTI system with impulse response h(t) = e-2|t|. If the mean of output random process is 5 then the value of A is ___________. 

Enter numerical value using the virtual keypad. Round off where necessary.

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