Suppose Jon is taking a test with 5 true-false questions and 5 multiple questions with 4 choices each. He knows nothing so he will answer randomly
a) find the expected number of true-false questions he will answer correctly?
b) Find the probability that Jon answers exactly 7 questions correctly?
c) Find the expected number of total of questions he will answer correctly ?
Suppose Jon is taking a test with 5 true-false questions and 5 multiple questions with 4...
suppose that carlos is taking a multiple-choice test where there are five answer choices for each question, and he randomly guesses on four questions. (a) What is the probability that he gets exactly three of those questions correct? (b) what is the probability that he gets at least one out of the four questions correct? (c) What is the probability that he gets none of the four questions correct?
A true/false test has 60 questions. A passing grade is 56% or more correct answers. a. What is the probability that a person will guess correctly on one true/false question? b. What is the probability that a person will guess incorrectly on one question? c. Find the approximate probability that a person who is just guessing will pass the test. d. If a similar test were given with multiple-choice questions with four choices for each question, would the approximate probability...
5.) Oh no! Jordan forgot to study for a multiple choice quiz. He has no idea what any of the correct answers are so he randomly guesses the answer for each question. There are 20 questions on the quiz, and each question has 4 possible choices, one of which is the correct answer. (a) (8 pts) Find the exact probability that Jordan correctly guesses the answers to more than 7 questions. (b) (8 pts) Find the mean (expected) number of...
A true/false test has 140 questions. A passing grade is 56% or more correct answers. a. What is the probability that a person will guess correctly on one true/false question? b. What is the probability that a person will guess incorrectly on one question? c. Find the approximate probability that a person who is just guessing will pass the test. d. If a similar test were given with multiple-choice questions with four choices for each question, would the approximate probability...
Steve is about to write a test with 10 true or false questions and 15 multiple choice questions. Steve has been studying hard so we’ll give a 75% chance of getting any of the 25 questions right. Assume all the questions are independent of each other. (a) (2 points) What is the probability that Steve gets exactly two thirds of the multiple choice questions right? (b) (3 points) What is the probability that Steve gets exactly half the true or...
Mary's Final Exam for Psychology has 10 True/False questions and 10 multiple choice questions with 4 choices for each answer. Assuming Mary randomly guesses on every question: **Write answers using 3 decimal places* a.) What's the probability that she gets at least 8 of the 10 true/false questions correct? b.) What's the probability that she gets at least 6 of the 10 multiple choice questions correct? c.) If the multiple choice questions had 5 choices for answers instead of 4,...
Smith and Jones each write the same multiple choice test. The test has 5 questions, and each question has 5 answers (exactly one of which is right). Smith and Jones are not very well prepared for the test and they answer the questions randomly. (i) FInd the probability that they both get the same number of answers correct. (ANSWER: 0.3198) (ii) Find the probability that their papers are identical, assuming that they have answered independently of one another. (ANSWER: 0.00032)
A true/false test has 30 questions. A passing grade is 70% or more correct answers. Answer_____(Type an integer or a decimal.) a. What is the probability that a person will guess correctly on one true/false question?Answer________ b. What is the probability that a person will guess incorrectly on one question?Answer________ c. Find the approximate probability that a person who is just guessing will pass the test.Answer________ d. If a similar test were given with multiple-choice questions with four choices for...
Q5. Professor Paymon ran out of time while taking the multiple-choice final exam and he guessed the answers on the last 6 questions! Each question has 4 possible choices, one of which is correct. Let X be the number of answers he correctly guessed in the last 6 questions. What is the probability that he answered exactly 3 questions correctly in the last 6 questions? You may round your answer to the nearest hundredth. (Please show formulas and calculations)
7. In answering a question on a multiple-choice test, a student either knows the answer or guesses. Let p be the probability that the student knows the answer and 1-p be the probability that the student guesses. Suppose there are 5 multiple-choice alternatives so a student who guesses at the answer will be correct with probability 1/5. (o) Show that the probability that a student knew the answer to a question given that he or she (b) What is the...