A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the student knows the answer to the question is 0.6 and the probability that the student will guess is 0.4. Assume that if the student guesses, the probability of selecting the correct answer is 0.25. If the student correctly answers a question, what is the probability that the student really knew the correct answer? (Round your answer to four decimal places.)

A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the student knows the answer to the question is 0.6 and the probability that the student will guess is 0.4. Assume that if the student guesses, the probability of selecting the correct answer is 0.25. If the student correctly answers a question, what is the probability that the student really knew the correct answer? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

QUESTION 30 In a pizza restaurant, 57.54% of the customers order pizza. The probability that a customer who orders pizza will also order a salad is 31.79%. Find the probablity that a customer orders pizza and a salad. Round your answer to four decimal places.
The probability of a particular soccer team winning a game is 0.30. The probability of the team losing a game is 0.42. The probability that the team neither wins nor loses their next game, to the nearest hundredth is
A survey shows that the students at a particular London college carry an average of £20 in cash. Assume that you’ve just met a student at random. Answer the following questions. i. Estimate the chance that the student is carrying more than £100 ii. Estimate the chance that the student is carrying less than £80.
A blood test for diabetes gives a positive result with a proportion of 0.44 when an individual has diabetes and a negative result with a proportion of 0.33 when they do not. Approximately a proportion of 0.14 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.
If the probability that a professor correctly writes a slide is 0.80, what is the probability that at least 6 out of 8 slides are correct? Round your answer to two decimal places. Write your answer as a fraction not as a percentage (i.e. write as 0.38 not as 38%).
Students randomly receive 1 of 4 versions (A, B, C, D) of a math test. What is the probability that at least 3 of the 5 students tested will get version A of the test? Express your answer as a percent, and round to the nearest tenth. a. 10.4% с. 8.8% b. 1.6% d. 74.7%
A quiz consists of 24 multiple-choice questions. Each question has 5 possible answers only one of which is correct. If you answer the questions completely based on guessing, what is the probability that you will answer exactly 4 wrong? a. 0.009 b. almost zero c. 0.367 d. 0.12
At a used-book sale, 106 books are adult books and 150 are children's books. Of the adult books, 72 are nonfiction, while 65 of the children's books are nonfiction. If a book is selected at random, find the probability of selecting the books for the following. Round the answers to three decimal places. a. Fiction b. Not a children’s nonfiction book c. An adult book or a children’s nonfiction book
Please answer the given statistics problem as soon as possible. Thank you!
A multiple choice test has 20 questions. Each question has four possible answers with one correct answer per question. What is the probability that a student will answer 10 or more questions correct (to pass) by guessing randomly? Round your answer to three decimal places.
A blood test for diabetes gives a positive result with a proportion of 0.22 when an individual has diabetes and a negative result with a proportion of 0.11 when they do not. Approximately a proportion of 0.66 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.
Solve the following: