A teacher announces a pop quiz for which the student is completely unprepared. The quiz consists of 20​ true-false questions. The student has no choice but to guess the answer randomly for all 20 questions. The accompanying table gives the 20 correct​ answers, which were actually randomly generated. Complete parts a. and b. below.   a. How many questions can the student expect to answer correctly simply by​ guessing?   b. What percentage of answers were​ true, and what percentage would you​ expect? Why are they not necessarily​ identical?   The percentage of answers that were true was?   The expected percentage of answers that would be true is?   Why are these answers not necessarily​ identical?   A. With random​ phenomena, the proportion of times that something happens is highly predictable in the short run.   B. With random​ phenomena, the proportion of times that something happens is highly random and variable in the short run.   C. With random​ phenomena, the proportion of times that something happens is highly random and variable in the long run.   D. With random​ phenomena, the proportion of times that something happens is highly predictable in the long run.

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