3. You are to take a multiple choice exam consisting of 100 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?
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?
Five cards are drawn successively with replacement from well - shuffled deck of 52 cards.
1. The probability that all the five cards are spades is 1024
45
2. The probability that only 3 cards are spades is $12.
Which of the above statement(s) is/are correct.
1. Only 1
2. Only 2
3. Both 1 and 2
4. Neither 1 nor 2
Transcribed Image Text:Five cards are drawn successively with replacement from well - shuffled deck of 52 cards. 1. The probability that all the five cards are spades is 1024 45 2. The probability that only 3 cards are spades is $12. Which of the above statement(s) is/are correct. 1. Only 1 2. Only 2 3. Both 1 and 2 4. Neither 1 nor 2
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