Richard has just been given a 10-question multiple-choice quiz in his history class. Each question has answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assume that Richard guesses on all 10 questions. Let X be the number of correct answers. a) State the probability distribution of X. Make sure to indicate the parameters of the distribution. b) What is the probability that he will answer all questions correctly? c) Richard is shocked. The history quiz is now a final exam with 100 questions similar to the quiz questions. What is the probability that he will answer at most 17 questions correctly? Show all your

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Richard has just been given a 10-question multiple-choice quiz in his history class. Each question has five
answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know
any of the answers. Assume that Richard guesses on all 10 questions. Let X be the number of correct
answers.
a) State the probability distribution of X. Make sure to indicate the parameters of the distribution.
b) What is the probability that he will answer all questions correctly?
c) Richard is shocked. The history quiz is now a final exam with 100 questions similar to the quiz
questions. What is the probability that he will answer at most 17 questions correctly? Show all your
steps. Diagram:
Transcribed Image Text:Richard has just been given a 10-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assume that Richard guesses on all 10 questions. Let X be the number of correct answers. a) State the probability distribution of X. Make sure to indicate the parameters of the distribution. b) What is the probability that he will answer all questions correctly? c) Richard is shocked. The history quiz is now a final exam with 100 questions similar to the quiz questions. What is the probability that he will answer at most 17 questions correctly? Show all your steps. Diagram:
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