If the particle is in the ground state, what is the probability that it is in a window δx=0.0002l wide with its midpoint at x=0.700l? you should be able to answer this part without evaluating any integrals! since δx is so small, you can assume that ψ(x) remains constant over that interval, so the integral is approximately

To solve this problem it is necessary to apply the concepts related to the wave function of a particle and the probability of finding the particle in the ground state.

The wave function is given as

Therefore the probability of finding the particle must be

Therefore the probability is

most of them using statistics and defining how things are being measured