A student in his exam, selects option C for all 10 multiple choice questions (MCQ). According to statistics, how many questions out of 10, the student will be right?(Format of the exam: 10 MCQ. Each MCQ has 4 answer choices A,B,C,D - out of which 1 choice is right and rest 3 are wrong)Disclaimer: Please do not try this in this quiz !!!Answer choicesSelect only one optionREVISITA) 5B) 2.5C) 2D) 5.50/10 questions attempted

A student attempts a test with 10 multiple-choice questions, where each question has 4 possible options. She does not know the correct answer to any of the questions and randomly selects one of the 4 options for each of them. What is the probability that she will get 3 questions correct?10C3(1/4)1010C3(3/4)3(1/4)710C3(1/4)3(3/4)7Binomial probability cannot be used here.

A student is taking a multiple choice test consisting of five questions, each with four options for each question. The student selects the answers at random.a) What is the probability that the student will get at least one question correct?b) Calculate the expected number of questions correct.

On a 10 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong?Give your answer as a fraction

0:35:59Question 18Not yet answeredMarked out of 6.00Flag questionTipsQUESTION 3PART 1A student is taking a multiple choice test consisting of five questions, each with four options for each question. The student selects the answers at random.a) What is the probability that the student will get at least one question correct?b) Calculate the expected number of questions correct.PART 2A sample of 100 people is selected for a survey, among the questions asked was"Do you like Statistics?" and "Do you live in Wollongong?". Of the 100 people,  80 said they like Statistics, 53 people said they like Statistics and also live in Wollongong(at the same time), 15 people said they don't like Statistics and also don't live in Wollongong (at the same time).a) Find the following probability, P(Likes Statistics | Live in Wollongong)b) Are the events "Likes Statistics" and "Lives in Wollongong" statistically independent?Show your working by typing your answer in the text box below.

(a) [4 marks] A student answers a multiple-choice examination question that offersfour possible answers. Suppose that the probability that he knows the answer tothe question is 0.8 and the probability that he guesses is 0.2. Assume that if thestudent guesses, the probability of selecting the correct answer is 0.25. If the studentcorrectly answers a question, find the probability that he really knew the correctanswer.(b) [5 marks] Suppose the student takes an examination with 3 multiple choice ques-tions. Let X denote the number of questions he gets correct. Assuming that thestudent answers each question independently, determine the probability distributionof X and calculate the expected value of X.(c) [10 marks] Suppose the student takes an examination with 2 multiple choice ques-tions. But this time, he gains confidence every time he knows the answer to a ques-tion. Specifically, if he knows the answer to the current question, then for the nextquestion the probability that he knows the answer becomes 0.9 and the probabilitythat he guesses becomes 0.1. If he does not know the answer to the current ques-tion, then for the next question the probability that he knows the answer and theprobability that he guesses remain 0.8 and 0.2, respectively. Again letting X denotethe number of questions he gets correct, determine the probability distribution of Xand calculate the expected value of X. We can assume the probabilities of knowingthe answer and guessing for the first question are 0.8 and 0.2, respectively.