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A professor decides to give a 12-question multiple choice quiz (there are four options for every problem) . A student, Army, studied a little but not enough. Suppose the probability of getting a question right is p = 0,3. Let Y be number of correct guesses. a. Describe the distribution of Y, (like binomial, normal, Poisson, uniform]? Identify the parameters of the distribution. b. Find the expected value(mean) and Standard deviation of X. Interpret, c. find the probability that the Amy will get exactly 7 of them right? [i.e., P(Y = 7) ] For the toolbar, press ALT+F10 [PC) or ALT+FN+F10 (Mack BIUS Paragraph Arial 14px IF A EQUESTION 4 basketball player can make make basket 70% of the time in the first Free Throw. However, if she misses the first one the conditional probability that she will make the second one is only 50%. If she makes he first one, then the chances of making the 2nd one is actually 90%. She made two attempts. a. Find the probability that she will make basket exactly once. b. Given than she made it exactly once, what is the probability that it was the 2nd one? For the toolbar, press ALT+F10 (PC] of ALT+FN+F10 (Mac)