Question

In: Statistics and Probability

After a long semester professor decides to organize true/false quiz for his students. The questions of...

After a long semester professor decides to organize true/false quiz for his students. The questions of this professor are infinitely difficult so for each question the students just randomly guess the answers (True and False) with equal probability 1/2. There are two options: a) a test with 4 questions where you need to write at least 3 correct answers to pass the test and b) a test with 8 questions where you need to write at least 5 correct answers to pass the test. Which quiz should the students choose to have better chances to pass?

Solutions

Expert Solution

Answer---->>


Related Solutions

A statistics professor gave a 5-point quiz to the 50 students in his class. Scores on...
A statistics professor gave a 5-point quiz to the 50 students in his class. Scores on the quiz could range from 0 to 5: The following frequency table resulted: (1.5 points) Quiz Score f rf cf crf c% 5 4 .08 50 1.00 100% 4 10 .20 46 .96 96% 3 14 .28 36 .72 72% 2 10 .20 22 .44 44% 1 8 .16 12 .24 24% 0 4 .08 4 .08 8% 1. Compute the values that define...
#21 A true/false quiz consists of 28 questions. If all answers are random guesses, estimate the...
#21 A true/false quiz consists of 28 questions. If all answers are random guesses, estimate the probability of getting at most 18 correct by using the normal distribution as an approximation to the binomial distribution. Enter your answer rounded to four decimal places.
True/ False Questions: For the following questions, first write whether they are true or false then...
True/ False Questions: For the following questions, first write whether they are true or false then write in a few sentences why it’s true or false. (1.5) a. The processes for producing penicillin and blue cheese both use the Penicillium fungus.     b. The reproductive organs of Amanita muscaria are popular pizza toppings.     c. The fungus Claviceps purpurea is thought to have triggered the infamous Salem witch trials.     d. Saccharomyces cerevisiae is a common household bread mold.    ...
A philosophy professor decides to give a 20 question multiple-choice quiz to determine who has read...
A philosophy professor decides to give a 20 question multiple-choice quiz to determine who has read an assignment. Each question has 3 choices. Let Y be the random variable that counts the number of questions that a student guesses correctly. You can assume that questions and answers are independent. Find the probability distribution function of Y by making a table of the possible values of Y and their corresponding probabilities. Add a column for the Cumulative Distribution Function (CDF) for...
Develop an interactive quiz. It should ask the user three multiple-choice or true/false questions about something....
Develop an interactive quiz. It should ask the user three multiple-choice or true/false questions about something. It must keep track of how many they get wrong, and print out a "score" at the end. (Assume data sensibly and also describe it question 2 ) OUTPUT : Are you ready for a quiz ? Y Okay, here are the questions! Q1) Which is the biggest animal? 1) Tiger 2) Rat 3) Elephant >3 That’s right! Q2) What is the result of...
Last semester, the students in my Finite Math class had an average quiz score of 83...
Last semester, the students in my Finite Math class had an average quiz score of 83 with a standard deviation of 2. Assume that the scores are approximated by a normal distribution. a) What percent of students scored higher than an 86 on the quiz? b) What percent of students scored less than a 79 on the quiz? c) What percent of students scored between a 79 and an 86? d) What happens when you try to find the percent...
A professor has a quiz with two questions. Assume that the probability of answering question 1...
A professor has a quiz with two questions. Assume that the probability of answering question 1 correctly is x, the probability of answering question 2 is y, and the two questions are independent. Let S be the number of questions that a student will get correct (so S=0, 1, or 2). The professor wishes to choose x and y to maximize V(S) subject to E(S)=1.4 (70% of 2 questions). Find x and y using the definitions of expected value and...
Several psychology students are unprepared for a surprise​ true/false test with 13 ​questions, and all of...
Several psychology students are unprepared for a surprise​ true/false test with 13 ​questions, and all of their answers are guesses. a. Find the mean and standard deviation for the number of correct answers for such students. b. Would it be unusual for a student to pass by guessing​ (which requires getting at least 11 correct​ answers)? Why or why​ not?
True or False Questions: Determine if true or false. If false why? 1) Premature efforts to...
True or False Questions: Determine if true or false. If false why? 1) Premature efforts to treat problem behavior before determining its function can be inefficient, ineffective, and even harmful. 2) Research has found that functional analyses conducted in natural environments (e.g., classroom settings) often yield the same (or even clearer) results compared to those conducted in simulated settings. 3) Problem behavior can only be maintained by one function. Behaviors are not multi-functional. 4) Indirect functional assessment procedures are referred...
True or False questions 11. After taking inflation into account, the purchasing power of the minimum...
True or False questions 11. After taking inflation into account, the purchasing power of the minimum wage was constant from 1970 to the present. 12. Job ladders have gotten longer in recent years as a bureaucratic hierarchy has increased. 13. Henry Ford paid workers $5 a day and granted them considerable job security through seniority rights because he wanted to attract the best workers to his factories. 14. The "new economy" is simply a shorthand way of saying that there...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT