A literature professor decides to give a 15 question true- false quiz. If a student takes this quiz just by blind guessing, what the probability that he/she could get exactly 10 answers correctly?
Please note nCx = n! / [(n-x)!*x!]
Binomial Probability = nCx * (p)x * (q)n-x, where n = number of trials and x is the number of successes.
Since there are only 2 options, P(Right) = 0.5 and P(Wrong) = 0.5
Therefore n = 15, p = 0.5, q = 1 – p = 0.5 .
P(X = 10) = 15C10 * (0.5)10 * (0.5)15-10 = 3003 * (0.5)15 = 0.0916
A literature professor decides to give a 15 question true- false quiz. If a student takes...
A history professor decides to give a 15-question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses onevery question is less than 0.10. What score should be set as the lowest passing grade?
A student took a ten true-false question quiz on a statistic's class. Assuming the student is guessing on all the questions, what is the probability that this student answer at most 6 questions correctly?
A student takes an exam containing 18 true or false questions. If the student guesses, what is the probability that he will get exactly 15 questions right? Round your answer to four decimal places.
2. A professor gives a twenty question true/false quiz. The lowest passing quiz score is 12 correct out of 20. Suppose a student randomly and independently guesses on each quiz question, what is the probability that the student earns a passing grade? Round to 4 decimal places.
A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 40% of the questions correct. (Round your answer to three decimal places.)
A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 60% of the questions correct. (Round your answer to three decimal places.)
A student takes a 10 question true-false quiz, but did not study and randomly guesses each answer. Let X be the number of questions answered correctly. a) The variable X is binomially distributed with n = and p = b) Find the mean of X. c) Find P(X = 10). Round your answer to 5 decimal places. d) Find P(X ≥ 7). Round your answer to 5 decimal places
A student takes a true-false test consisting of 15 questions. Assume that the student guesses at each question and find the probability that a. the student gets at least one question correct. b. the student gets a 80 % or better on the exam.
A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, so he decides to take a random guess on both questions. One question is true-false and the other is multiple choice with four possible answers. 1. What is the probability of guessing the correct answers to both the true/false question and the multiple choice question? 2. What is the probability of guessing the incorrect answers to both the true/false question and...
A quiz consists of 30 true or false questions. If the student guesses on each question, what is the mean number of correct answers? A.) 0 B.) 15 C.) 6 D.) 30