QUESTION 3 PART 1 A student is taking a multiple choice test consisting of four questions, each with five options for ea

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Question 3 Part 1 A Student Is Taking A Multiple Choice Test Consisting Of Four Questions Each With Five Options For Ea 1 (41.61 KiB) Viewed 101 times

QUESTION 3 PART 1 A student is taking a multiple choice test consisting of four questions, each with five options for each question. The student selects the answers at random. a) This is a binomial distribution, what is the value of n and p for this question? b) What is the probability that the student will get at least three questions correct? c) Calculate the expected number of questions correct. PART 2 A sample of 150 people is selected for a survey, among the questions asked was "Do you like Statistics?" and "Do you live in Wollongong?". Of the 150 people, 100 said they like Statistics, 75 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). Lives in Does not live Total Wollongong in Wollongong Likes Statistics Does not like Statistics Total a) Fill in the above contingency table. b) Find the following probability, P(Likes Statistics Does not live in Wollongong) c) Are the events "Likes Statistics" and "Does not live in Wollongong" statistically independent?