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.

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 multiple-choice test has 20 questions with 4 answer choices. If a student guesses on every question, what is the probability of getting 8 questions correct? (hint: use the binomial probability formula)

A student did not study and has to guess on each question of a 20 question multiple choice test.  There are four answer choices for each question.

A quiz consists of 10 multiple-choice questions, each with 4 possible answers, only one of which is correct. A student who does not attend lectures on a regular basis has no clue what the answers are, and therefore uses an independent random guess to answer each of the 10 questions. What is the probability that the student gets at least one question right?Let's decide on some notations.Let L be the event that the student gets at least one of the questions right.We'll use R for getting a question right and W for getting it wrong (W is essentially "not R").Given the "tactic" of the student, what is P(R) and P(W)?

A multiple-choice test contains 8 questions. There are four possible answers for each question. In how many ways can a student answer the questions on the test if the student answers every question? Select one:a.32b.84c.48d.None of the otherse.1