Suppose a biology student is about to take an exam that is entirely multiple choice, where each question has 5 answer choices. This student only studied 70% of the material that is covered on this exam, so let us assume that there is a TO'Vo chance that she knows the correct answer to any given question. If she does not lcnow the answer, she will choose an answer at random. a. If she answered a question on the exam correctly= what is the probability it was just because she guessed? (331;) b. If the exam has a total of 30 questions on it= what is the average number you would expect herto get wrong? (Spit) 2. The common fruit y (Drosophila melanogaster), which is used frequently in biology experiments, has wings that can be curly or at and its eyes can be white, red, or brown. One researcher measured the wing type and eye color of the 34 ies in her lab. Of the 10 that had brown eyes, 80% had curly wings. For those with red eyes, one more had at wings than curly wings. And of the 18 ies with curly wings, an equal number had red and brown eyes. Create a contingency table to display this data. (Spit) 3. A study investigating the links between health risks and education surveyed adults in a metro area and found that 22% of those without a high school degree smoke cigarettes regularly, while only 13% of those with a high school degreea'GED smoke cigarettes daily. a. 'What is the explanatory variable and what is the response variable in this analysis? (Ipt) b. If you randomly selected 6 people in this area who do not have a high school degree, what is the probability that at least one of them smokes daily? (3pt) c. Are smoking status and having a high school degree independent events for this group of adults? Justify your answer. (2pt)