Question 20 0.5 ms Jake took a ZO-question multiple choice quiz. Each question had ve choices. Jake did not study and guessed on each question. Let X = the number of questions Jake guessed correctly. What is the variable of interest in this scenario? 0 Whether or not Jake got a question correct. 0 The number of questions Jake answered correctly on the quiz. 0 The number of questions on the quiz. 0 The number of choices on each question. Question 21 0.5 ms Jake took a ZO-question multiple choice quiz. Each question had ve choices. Jake did not study and guessed on each question. Let X = the number of questions Jake guessed correctly. What is the random variable? 0 Whether or not Jake got a question correct. 0 The number of questions Jake answered correctly on the quiz. 0 The number of questions on the quiz. 0 The number of choices on each question. Question 22 0.5 pts Is the random variable continuous or discrete? O continuous O discrete Question 23 1 pts Jake took a 20-question multiple choice quiz. Each question had five choices. Jake did not study and guessed on each question. Let X = the number of questions Jake guessed correctly. To determine if the random variable has a binomial distribution, four conditions must be satisfied. The four conditions are listed below. For each, check if it is met. O There are exactly two categories for each question (correct or incorrect), one of which must happen. O There are a fixed number of trials (i.e. questions). O The probability of a "success" on each trial is the same for all trials. That is, the probability of answering a question correctly is the same for all questions. O The trials are independent. That is, whether Jake answers one question correctly is not dependent on whether Jake answers any other question correctly.Question 24 2 pts Jake took a ZO-question multiple choice quiz. Each question had ve choices. Jake did not studyr and guessed on each question. Let X = the number of questions Jake guessed correctly. For this question. we will assume all four conditions are satised for the random variable to have a binomial distribution. If so, the binomial formula can be used to nd probabilities. Fill in the blanks below with correct values to determine the probability Jake answers exactly 15 of the questions correctlyr if he guesses on each question. [Input one value in each blank space! You do not need to calculate the probability.) P{X = 15) = at'u G)H