solve all parts please provide complete solution of the question

Q3 (11 points) Q3.(11) 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 \\ be the random variable for the number of correct guesses. 1.(2) Write the distribution for X. 2.(3) Determine the probability of answering exactly 3 questions correctly. 3.(3) Determine the probability of answering at most 2 questions correctly. 4.(3) Determine the mean and variance of X. + Drag and drop an image or PDF file or click to browse