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?
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...
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1223c4c6-4ebb-4911-bc0d-edb37c26385f%2F9a7c2f59-09f1-4eb0-aac5-f1c676dda44a%2F14qcbnq_processed.png&w=3840&q=75)
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?
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