Students who …... online will receive a 5% discount. Multiple choice 1 Question 16allowrecordregisterpermit

In a group of five students one has a paid subscription to Netflix. If one student is selected from the five, what is the probability of selecting this student (round your answer to one decimal place)?

Multiple Choice QuestionWhich statement accurately describes the discount rate?Multiple choice question.The discount rate serves to discourage banks from borrowing from the Fed.The discount rate only applies to loans given to the general public.If the Fed wants to decrease the money supply, it will lower the discount rate.When online businesses borrow from the government, they are subject to the current discount rate.

Multiple Choice QuestionThe discount rate is the ______.Multiple choice question.dollar amount reduced by the Fed for banks that meet compliance guidelinespercentage of deposits that banks must hold in reserveinterest rate that the Federal Reserve charges to loan money to member banksamount that bonds are discounted on open market activities

Multiple Choice QuestionWhen the Federal Reserve wants to encourage economic activity, it will ______ the discount rate.Multiple choice question.eliminatedecreaseextendincrease

(a) [4 marks] A student answers a multiple-choice examination question that offersfour possible answers. Suppose that the probability that he knows the answer tothe question is 0.8 and the probability that he guesses is 0.2. Assume that if thestudent guesses, the probability of selecting the correct answer is 0.25. If the studentcorrectly answers a question, find the probability that he really knew the correctanswer.(b) [5 marks] Suppose the student takes an examination with 3 multiple choice ques-tions. Let X denote the number of questions he gets correct. Assuming that thestudent answers each question independently, determine the probability distributionof X and calculate the expected value of X.(c) [10 marks] Suppose the student takes an examination with 2 multiple choice ques-tions. But this time, he gains confidence every time he knows the answer to a ques-tion. Specifically, if he knows the answer to the current question, then for the nextquestion the probability that he knows the answer becomes 0.9 and the probabilitythat he guesses becomes 0.1. If he does not know the answer to the current ques-tion, then for the next question the probability that he knows the answer and theprobability that he guesses remain 0.8 and 0.2, respectively. Again letting X denotethe number of questions he gets correct, determine the probability distribution of Xand calculate the expected value of X. We can assume the probabilities of knowingthe answer and guessing for the first question are 0.8 and 0.2, respectively.