Write a Matlab function x=faxlength8(m) that produces m random sample values of the fax length X with PMF given in Example 2.29.
Example 2.29
Suppose the probability model for the number of pages X of a fax in Example 2.28 is
For the pricing plan given in Example 2.27, what is the PMF and expected value of Y, the cost of a fax?
Example 2.27
The random variable X is the number of pages in a facsimile transmission. Based on experience, you have a probability model PX (x) for the number of pages in each fax you send. The phone company offers you a new charging plan for faxes: $0.10 for the first page, $0.09 for the second page, etc., down to $0.06 for the fifth page. For all faxes between 6 and 10 pages, the phone company will charge $0.50 per fax. (It will not accept faxes longer than ten pages.) Find a function Y = g(X) for the charge in cents for sending one fax.