For a particle in a quantum mechanical state given by a wave function (x) = Ce|x|/ find. The normalization constant C.

For a particle in a quantum mechanical state given by a wave function ψ(x) = Ce−|x|/λ find. 1. The normalization constant C. 2. The probability to find the particle somewhere in the interval between −λ and λ. 3. The average position ¯x. 4. The standard deviation from the average position ∆x = p x 2 − x