1. Suppose you play a game where you spin a spinner with areas of the colours on the spinner broken down as shown: 10% blue, 60% green, and 30% red. In addition, if the spinner lands on red you win 6 points, if it lands on blue you win 1 point, and if it lands on green you lose 5 points. If you keep spinning, how many points can you expect to win or lose per game? 2. In a certain University, the probability that a student takes calculus and is on the dean's list is 0.042. The probability that a student is on the dean's list is 0.21. Find the probability that the student is taking calculus, given that he or she is on the dean's list. 3. Apple company designs i-phone 15. One out of 50 i-phones is faulty, but the company does not know which ones are faulty until a buyer complains. Suppose the company makes 150 dollar profit on the sale of any working phone, but suffers a loss of 4000 dollars for every faulty gadget because they have to repair the unit. Check whether Apple company can expect a profit in the long term. What is the expected loss or gain? (Example answers: NO, -100.00 or YES, 100.00). No need to write money symbol. 4. A. When two events cannot occur at the same time, the probability that either of the two events will occur is the sum of the two individual probabilities. B. When the outcome of the first event affects the outcome of the second event in such a way that the probability is changed, the events are said to be independent. Are both statements true? 5. A. The probability of a certain event A ranges from 0 to 1. B. A continuous random variable is obtained from data that can be measured rather than counted. Are both statements true? 6. A survey reveals that 18 out of 50 students from a health allied section in USTSHS are academic scholars. The probability that a randomly selected student from this section is a non-academic scholar is 16/25. Is this true? 7. A coin is tossed three times. What is the probability of getting at least one head? 8. A possible outcome of a random variable could have a negative value. True or false? 9. A? If E and are complementary events, then: P(E) + P() = 1 or P(E) = 1 + P() B. If an event E cannot occur, then P(E) = 0 Are both statements true