What is the numerical quantum probability for the particle to make it to the other side of the barrier?

What is the numerical quantum probability for the particle to make it to the other side of the barrier? Compute this two ways: i) use your formula from part A and ii) go to phet.colorado.edu, choose the “Quantum Tunneling and Wave Packets” sim, set it up to match this problem (be sure to pick an incident plane wave) Do the results agree? Then please play with the sim a little E.g. pick a narrow wave packet (instead of a “plane wave”) starting off to the left of the same barrier, and tell us what the sim gives for the transmission probability now. Is it different from the “plane wave” approximation we used above?