Name Instructions: Circle the correct answer below each question. The choices were generated from table values. Questions 1 - 3 A student is given a 16-question multiple choice test with 5 possible answers per question, and she decides to randomly guess at each answer. 1) How many would she expect to answer correctly? 0.14 0.16 0.18 0.2 0.7 0.8 0.9 1.4 1.6 1.8 2.8 3.2 3.6 4 None of these 2) What is the expected standard deviation of the proportion of correct answer? 0.005 0.05 0,139 0,158 0.178 0.198 0.52 0.665 0.76 0.855 0.95 1.26 1.44 1.62 1.8 2.24 2.56 2.88 3 3.2 3.95 4 1 4.4 5.71 6.2 None of these 3) Suppose that she knew the correct answer on 6 of the questions and guessed on the rest. What is the probability that she'll pass? (Need 60% or better to pass.) 0.0003 0.0016 0.0034 0.0084 0.0185 0.0328 0.1209 0.2618 None of these 4) A machine has 10 identical components which function independently. The probability that a component will work is 0.8. The machine will stop working if more than five components fail. Find the probability that the machine will run. 0.9991 0.9804 0.9012 0.9984 0.9672 0.8497 0.9972 0.9496 0.7897 None of these Questions 5 - 6 The average elephant drinks 225 L per day of water (with a standard deviation of 60 L) Suppose you are a keeper at a zoo responsible for providing water. Assume that the distribution of water needed is normal. 5) If the exhibit has a single elephant, and you fill the elephant's water tub with 300 L of water, what is the probability that the elephant will run out of water before the end of the day? 0.3372 0.281 0.2266 0.1788 0.1401 0.1056 0.0778 0.0571 None of these 6) If the exhibit has 7 elephants, and you fill the elephants' water tubs with 2030 L of water, what is the probability that the elephants will run out of water before the end of the day? 0.0011 0.0021 0.0040 0.0091 0.0139 0.0207 0.0495 0.0618 0.0764 None of these 7 ) Neilson Global Ratings estimates that an average of 60% of viewers within a certain area are watching a new show called "Games of Drones". For weeks before a particular episode, the network advertised heavily for an upcoming episode. If a sample of 2,400 viewers were surveyed, what is the minimum number of viewers that would be needed to conclude that the ratings were unusually high? 926 1008 1049 1147 1249 1300 1366 1488 1549 None of these