Mock Exam Questions PDF

MOCK EXAM QUESTIONS Please note that I only provide three below. In the final exam, you will have FIVE questions in total. No solution will be provided. You are on your own to answer these examples. Questions: 1. Suppose that X ∼ N (0, 1). (a) What is the probabil...

MOCK EXAM QUESTIONS Please note that I only provide three below. In the final exam, you will have FIVE questions in total. No solution will be provided. You are on your own to answer these examples. Questions: 1. Suppose that X ∼ N (0, 1). (a) What is the probability of P (X ≤ 0)? Provide your reason. (b) What is the probability of P (X = 0 ∪ X = 1)? Provide your reason. 2. By the Department of Health, the expected likelihood of nausea following a vaccination for an infectious disease is We now aim to get 500 randomly selected people injected for the vaccination. Keep FOUR decimals for the following calculation. (a) What is the probability of most two of them getting nausea? (b) What is the probability of more than 4 (i.e. > 4) of them getting nausea? Write down the details (including the distribution, formulas and all necessary steps) of your calculation. 3. For a Virus test, what we know is 0.5% of the population is infected with a particular virus that leads to acute disease only after a long period of time. A clinical study shows that 99% of the individuals suffering from the symptoms that confirm an infection with the virus test positive. On the other hand, 2% of people not developing the symptoms test positive as well. What is the probability that a person testing positive does not have the infection? Write down your calculation step by step. Keep three decimals for your calculation. 1