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 carmed 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 carmed a passing score? Compute an appropriate probability to support your answer.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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 carned a passing score? Compute an appropriate
probability to support your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8dbcbf0b-9123-4a1c-9796-89fa34227664%2F90c11838-041f-47e3-a171-24d07d07e194%2Fojcqyc_processed.jpeg&w=3840&q=75)
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 carned a passing score? Compute an appropriate
probability to support your answer.
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