The Online Exam from Applied Statistics consists of 6 questions. Statistics show that there is a 75% chance that the student will answer to any one of Exam problems correctly. If the number of attempts for each question is unlimited, find the following probabilities

a. The student will correctly answer the first question after the 4th attempt.

b. The student will correctly answer three questions after 10 total attempts.

c. What is the average number and SD of attempts up to when the student answers all the questions correctly?