A student will keep guessing answers for a problem until he gets the right answer. Assume that the correctness of each answer he gives is independent of his other answers. There is a 30% chance that an answer will be correct. Let X be the number of incorrect answers the student guesses. Note that X is a geometric random variable.
Determine the probability that the student makes exactly 3 incorrect guesses before getting the right answer.
Determine the probability that it takes more than 3 incorrect guesses before getting the right answer. Hint: use the complement rule.
Determine E(X).
A student will keep guessing answers for a problem until he gets the right answer. Assume...
A student takes an exam containing 14 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.5. If the student makes knowledgeable guesses, what is the probability that he will get exactly 3 questions right? Round your answer to four decimal places
A student takes an exam containing 19 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.4. If the student makes knowledgeable guesses, what is the probability that he will get exactly 5 questions right? Round your answer to four decimal places.
A student takes an exam containing 10 multiple-choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.5. At least 6 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will fail? Round your answer to four decimal places.
5. A student takes a multiple-choice exam where each question has 5 possible answers. He works a question correctly if he knows the answer, otherwise he guesses at random. Suppose he knows the answer to 80% of the questions. (a) What is the probability that on a question chosen at random the student gets the correct (b) Given that the student gets the correct answer to this question, what is the probability answer? that he actually knew the answer?
A student takes an exam containing 1818 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.30.3. At least 1212 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will fail? Round your answer to four decimal places.
A student takes an exam containing 16 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.5. At least 11 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will pass? Round your answer to four decimal places.
A student takes an exam containing 14 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.3. At least 9 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will pass? Round your answer to four decimal places. Answer(How to Enter) 1 Point Tables E Keypad
onsider an exam which has n multiple choice questions. Each question has k possible answers, among which only one answer is correct. (a) Consider a student who chooses at random the answers for all questions of the exam. Let X be the number of correct answers of this student. What is distribution of X? What is the expected value of X? (b) To eliminate the effect of guessing, the instructor decides to mark the according to the following rule: for...
A multiple-choice exam offers five choices for each question. Jason just guesses the answers, so he has probability 1/5 of getting any one answer right. One of your math major friends tells you that the assignment of probabilities to the number of questions Jason gets right out of 10 is (rounded to three decimal places):What is the expected number of right answers Jason will get if the test has 10 questions? A) 5 B)2.282 C) 2.493 D) 3.5 E)Can't tell...
Can someone please explain how to solve the problem below? I keep getting the answer incorrect. (13 points) The random process X(t) consists of the following two sample functions which are equally likely: x(t,sı)=e", x(t,82)=-et Determine the mean and autocorrelation function of X(t), and also determine whether X(t) is wide sense stationary. (Note: no credit will be awarded for correct guesses without justification).