Due: 10:00 a.m., Wednesday, Sept. 23
Calculate the probability that a particle in a box occupies the leftmost tenth of the box for n=1, 2 and 3.
Bonus: Plot the probability that the particle occupies the leftmost tenth of the box for n=1 to 100. If you write a function which takes a value of n and returns the probability corresponding to this n, the following Maple command can be used to plot it:
> plot(your_function,0..100,style=POINT,adaptive=false, > sample=[seq(i,i=1..100)]);(If you're curious about how this bit of Maple magic works, I can explain it to you. Otherwise, just go ahead and use it.)
You should find that the probability approaches a particular value at
large values of n. Give this limiting value and explain why the
probability tends to it.