5 marks A student takes a twelve-question true-false quiz but did not study and randomly guesses each answer. Of interest is the number of questions the student gets right. a) Use words to describe what the random variable X of interest here? b) State the assumptions that need to be made to model this situation with the binomial distribution. c) Give the relevant parameters: n = ? p= ? X = ? d) Calculate the probability that the student gets 6 questions right. Include working or hje excel formula used. e) Use words to explain what it means if she gets at least 6 questions right. Calculate the probability that the student gets at least 6 questions right. Include working or the excel formula used.​