A certain test contains 10 multiple choice problems. For five of the problems there are four possible answers, and for the other five there are only three possible answers. X is the number of correct...

A certain test contains 10 multiple choice problems. For five of the problems there are four possible answers, and for the other five there are only three possible answers.X is the number of correct answers a student gets purely by guessing. DoesX
have a binomial distribution?