Dx 1 and the probability density has dimensions reciprocal to the integration variable that yields a cumulative probability which in this case is position so the wavefunction has units of reciprocal square root of length. Find the constant A. University of Central Florida Department of Mathematics and School of OpticsCREOL Orlando Florida 32816 R.
If you cant get the derivative analytically or its just too messy to bother with use diff to approximate it.
Find the CDF for the case. The probability density function is defined in the form of an integral of the density of the variable density over a given range. In probability theory a probability density function PDF or density of a continuous random variable is a function whose value at any given sample or point in the sample space the set of possible values taken by the random variable can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample. When a function such as the normal distribution defines a continuous probability distribution such as the way height is distributed among an adult popupulation this function is called a probabilify density function or pdf.