A test consisting of 25 multiple choice questions with 5 answer choices for each question is administered. For each question, there is only one correct answer. (a) Let X be the number of correct...

A test consisting of 25 multiple choice questions with 5 answer choices for each question is
administered. For each question, there is only one correct answer.
(a) Let X be the number of correct answers if a student guesses randomly from the five
choices for each of the 25 questions. What is the probability distribution of X?