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To introduce her class to binomial distributions, Mrs. Desai gives a 10-item, multiple- choice quiz. The catch is, students must simply guess an answer (A through E) for each question. Mrs. Desai uses her computer's random number generator to produce the an- swer key, so that each possible answer has an equal chance to be chosen. Patti is one of the students in this class. Let X = the number of Patti's correct guesses. 1. Show that X is a binomial random variable. 2. Find P(X = 3). Explain what this result means. 3. To get a passing score on the quiz, a student must guess correctly at least 6 times. Would you be surprised if Patti earned a passing score? Compute an appropriate probability to support your answer.

To introduce her class to binomial distributions, Mrs. Desai gives a 10-item, multiple- choice quiz. The catch is, students must simply guess an answer (A through E) for each question. Mrs. Desai uses her computer's random number generator to produce the an- swer key, so that each possible answer has an equal chance to be chosen. Patti is one of the students in this class. Let X = the number of Patti's correct guesses. 1. Show that X is a binomial random variable. 2. Find P(X = 3). Explain what this result means. 3. To get a passing score on the quiz, a student must guess correctly at least 6 times. Would you be surprised if Patti earned a passing score? Compute an appropriate probability to support your answer.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Refer to the previous Check Your Understanding (page 397) about Mrs. Desai's special multiple-choice quiz on binomial distributions. We defined X correct guesses. the number of Patti's 1. Find ux. Interpret this value in context. 2. Find ox. Interpret this value in context. 3. What's the probability that the number of Patti's correct guesses is more than 2 standard deviations above the mean? Show your method.
Transcribed Image Text:Refer to the previous Check Your Understanding (page 397) about Mrs. Desai's special multiple-choice quiz on binomial distributions. We defined X correct guesses. the number of Patti's 1. Find ux. Interpret this value in context. 2. Find ox. Interpret this value in context. 3. What's the probability that the number of Patti's correct guesses is more than 2 standard deviations above the mean? Show your method.
To introduce her class to binomial distributions, Mrs. Desai gives a 10-item, multiple- choice quiz. The catch is, students must simply guess an answer (A through E) for each question. Mrs. Desai uses her computer's random number generator to produce the an- swer key, so that each possible answer has an equal chance to be chosen. Patti is one of the students in this class. Let X = the number of Patti's correct guesses. 1. Show that X is a binomial random variable. 2. Find P(X = 3). Explain what this result means. 3. To get a passing score on the quiz, a student must guess correctly at least 6 times. Would you be surprised if Patti earned a passing score? Compute an appropriate probability to support your answer.
Transcribed Image Text:To introduce her class to binomial distributions, Mrs. Desai gives a 10-item, multiple- choice quiz. The catch is, students must simply guess an answer (A through E) for each question. Mrs. Desai uses her computer's random number generator to produce the an- swer key, so that each possible answer has an equal chance to be chosen. Patti is one of the students in this class. Let X = the number of Patti's correct guesses. 1. Show that X is a binomial random variable. 2. Find P(X = 3). Explain what this result means. 3. To get a passing score on the quiz, a student must guess correctly at least 6 times. Would you be surprised if Patti earned a passing score? Compute an appropriate probability to support your answer.
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