HCU MCA 2017 Paper

You are taking a multiple choice test for which you have mastered 70% of the course material. Assume this means that you have a 0.7 chance of knowing the answer to a random test question, and that if you don’t know the answer to a question then you randomly select among the four answer choices. Assume that all choices are uniformly distributed. If there are 50 questions in total, what is your expected score (as a percent) on the exam ?