3. You are to take a multiple choice exam consisting of 100 questions with five possible responses to each. Suppose you did not study and decided to guess randomly on each question. Let X = the number of correct answers. a) What is your expected score on the exam? b) Compute and interpret the standard deviation of X. c) If 60% is passing, what is the probability you will pass the exam by guessing?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
icon
Related questions
Question

Hello. Please answer the attached Probability question and its parts correctly and completely.

*If you answer the question and its parts correctly and completely, I will give you a thumbs up. Thanks.

3. You are to take a multiple choice exam consisting of 100 questions with five possible
responses to each. Suppose you did not study and decided to guess randomly on each
question. Let X = the number of correct answers.
a) What is your expected score on the exam?
b) Compute and interpret the standard deviation of X.
c) If 60% is passing, what is the probability you will pass the exam by guessing?
Transcribed Image Text:3. You are to take a multiple choice exam consisting of 100 questions with five possible responses to each. Suppose you did not study and decided to guess randomly on each question. Let X = the number of correct answers. a) What is your expected score on the exam? b) Compute and interpret the standard deviation of X. c) If 60% is passing, what is the probability you will pass the exam by guessing?
Expert Solution
steps

Step by step

Solved in 3 steps with 19 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill