Question: A student randomly guessed the answers to a 5 question true false exam. What probability distribution should be used to analyze this experiment? (5 points) Given this, find the following probabilities.

a) That the student correctly guessed exactly two question (3 points).

b) That the student correctly guessed at most two questions (5 points).

c) That the student correctly guessed at least three questions (5 points).

d) What is the mean, variance and standard deviation of the random variable which counts the number of correct guesses? (2 points each)