Let an the number of bit strings in B of length n, for n ≥ 2. Determine a recursive definition for an, i. e. determine a2, a3 and a recurrence relation. Make sure to justify your recurrence relation carefully. In particular, you must make it clear that you are not double-counting bit strings.

One of every 20 customers reports poor customer service on your company’s customer satisfaction survey. you have just created a new process that should cut the number of poor customer service complaints in half. what percentage of customers would you expect to report poor service after this process is implemented? 1.) 5% 2.) 10% 3.) 2% 4.) 2.5%