Consider a particle in a one-dimensional box of length L in its lowest energy (ground) stationary state.

Consider a particle in a one-dimensional box of length L in its lowest energy (ground)stationary state. Calculate the probability that the particle isa) in the left half of the boxb) in the middle third of the box.c) Draw a picture of the wavefunction and associated probability for each of parts a) andb) and explain your answers in terms of these pictures.