A cable provider wants to contact customers in a particular telephone exchange to see how satisfied they are with the new digital TV service the company has provided. All numbers are in the 452 exchange, so there are 10,000 possible numbers from 452-0000 to 452-9999. If they select the numbers with equal probability:
a) What distribution would they use to model the selection?
b) The new business “incubator” was assigned the 200 numbers between 452-2500 and 452-2699, but these businesses don’t subscribe to digital TV. What is the probability that the randomly selected number will be for an incubator business?
c) Numbers above 9000 were only released for domestic use last year, so they went to newly constructed residences. What is the probability that a randomly selected number will be one of these?