We are asked to choose the best method of a random sample for a hair dresser who wants to know her clients's satisfaction.
We will see our options one by one.
Upon looking at option (a) and (b) we can say that these are not good choices as she is now experienced and her upcoming customer will be more satisfied than her customers when she started her work.
Option c is also not correct choice as it will be influenced by her receptionist's thoughts and choices.
Option d is the best way to choose a random sample as it is a fair representation of her all customers. In this sample all of her costumers will be assigned numbers and will be chosen randomly.
Therefore, option (d) is the correct choice.