An automatic character recognition device can successfully read about 85%of hand-written credit card application.

a. Three credits card applications are randomly selected. What is the probability that the device successfully read at least two of them?1

b. Three hundred credits card applications are randomly selected. What is the probability that the device successfully read at least two hundred of them? For this question, firstgiven the exact expression of the required probability. Then approximate it

c. What theory did you apply to obtain the answer in part (b)? Explain by the theory is applicable in this case.