Suppose a teacher gives her statistics class a four question, multiple-choice quiz at the beginning of...
a. Ms. Newell gave her class a 10-question multiple-choice quiz with 4 choices. Let X = the number of questions that a randomly selected student in the class answered correctly. The mean and standard deviation of X are 7.6 and 1.32 respectively. To determine each student’s grade on the quiz, Ms. Newell will multiply his or her number of correct answers by 10. Let RV ‘G’ be the grade of a randomly chosen student in the class. i. Calculate the...
A student completely guesses on every question on a 3-problem multiple choice quiz in which each question has five possible answers (p(correct on any one problem) = 0.20)). Let X be the number of problems that the student gets correct out of 3. Blank 1: For this to be binomial, BINS must be satisfied. Are there two outcomes (yes or no)? Are trials independent (yes or no)? Is this out of a fixed number of trials (identify n with a...
Richard has just been given a 4-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doe know any of the answers. Assuming that Richard guesses on all four questions, find the indicated probabilities. (Round your answers to three decimal places.) (a) What is the probability that he will answer all questions correctly? (b) What is the probability that he will answer all questions...
A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of a randomly chosen student. Find the mean score and interpret the result. Round the answers to two decimal places as needed. 5 6 7 9 10 P(x) 0.08 0.18 0.35 0.22 0.11 0.06 8 to Excel х The mean is If we were to give this quiz to more and more students, the mean score for these students would...
Richard has just been given a 10-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all ten questions, find the indicated probabilities. (Round your answers to three decimal places.) (a) What is the probability that he will answer all questions correctly? (b) What is the probability that he will answer all questions...
1.) In the previous question (the one about the multiple-choice quiz), the random variable X is binomial with parameters: n = 1/5, p = 15 n = 15, p = 1/2 n = 15, p = 1/5 n = 15, p = 0 2.) Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use technology to find the probability distribution given the probability p=0.164p=0.164 of success on a single trial. (Report answers accurate to 4...
Richard has been given a 7-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. What is considered the success? Select one: a. number of questions answered b. Richard answers a question correctly. c. none of the choices d. number of questions e. Richard is unable to answer a question correctly.
Richard has been given a 12-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of the answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is unable to answer a question correctly. Assuming that Richard guesses on all 12 questions, find the probability that he will answer no more than 3 questions...
Richard has been given a 5-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. What is considered the success
In a statistics quiz with 10 multiple choice questions, if the probability of correctly guessing the answer to a question is 0.35. What is the probability that: a. A student correctly guesses more than 7 questions? b. What is the variance Question (c) For this Question, assume a Poisson distribution. If the average number of auto accidents that occur in a given intersection is 5 per year. What is the probability that more than 12 accidents occurs in the same...