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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Use first picture's information to answer second picture. Please only answer second picture.

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman