Q4 (9 points) Q4.(9) A student randomly guesses on multiple choice exam (and hence independence between each question can be assumed). There are five questions, each question has five options. Let X be the random variable for the number of correct guesses. 1.(2) Write the distribution for X. 2.(2) Determine the probability of answering exactly 3 questions correctly. 3.(3) Determine the probability of answering at most 2 questions correctly. 4.(2) Determine the mean and variance of X