# The wave function for an electron that is confined to x `>=` 0 nm  See the image below.  a) What must be the value of b?  I don't know if this is correct but is this simply 1/`sqrt(L/2)` =.559 mm^-1/2` ` b) What is the probability of finding the electron in a 0.010 nm-wide region centered at x = 1.0 nm? Is this simply .00228630*100 = .23%  c) What is the probability of finding the electron in the interval 1.15 nm `<= ` x `<=` 1.84 nm. I don't know if this is correct but is this simply .0025189*100 = .25%``

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## Expert Answers Hello!

`Psi` is the standard symbol for a wave function. Its square is the probability density pd(x). By the definition of probability density, the probability of being between c and d is  `int_c^d pd(x) dx.` In our case for positive c and d it is

`b^2 int_c^d e^(-(2x)/L)...

(The entire section contains 172 words.)

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