You are to take a multiple-choice exam consisting of 100 questions with two possible responses to each question. Suppose that you have not st and so must guess (select one of the two answers in a completely random fashion) on each question. Let x represent the number of correct res on the test. In USE SALT (a) What kind of probability distribution does x have? O binomial O geometric (b) What is your expected score on the exam? (Hint: Your expected score is the mean value of the x distribution.) (c) Calculate the variance of x.
You are to take a multiple-choice exam consisting of 100 questions with two possible responses to each question. Suppose that you have not st and so must guess (select one of the two answers in a completely random fashion) on each question. Let x represent the number of correct res on the test. In USE SALT (a) What kind of probability distribution does x have? O binomial O geometric (b) What is your expected score on the exam? (Hint: Your expected score is the mean value of the x distribution.) (c) Calculate the variance of x.
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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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:You are to take a multiple-choice exam consisting of 100 questions with two possible responses to each question. Suppose that you have not studied
and so must guess (select one of the two answers in a completely random fashion) on each question. Let x represent the number of correct responses
on the test.
In USE SALT
(a) What kind of probability distribution does x have?
binomial
geometric
(b) What is your expected score on the exam? (Hint: Your expected score is the mean value of the x distribution.)
(c) Calculate the variance of x.
Calculate the standard deviation of x.
(d) Based on your answers to parts (b) and (c), is it likely that you would score over 50 on this exam? Explain the reasoning behind your answer.
A score of 50 is
standard deviations from the mean in the distribution of x. So a score of over 50 is very
--Select--- V
You may need to use the appropriate table in the appendix to answer this question.
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