Suppose you take a 30-question, multiple-choice test, in which each question contains 4 choices: A, B, C, and D. If you randomly guess on all 30 questions, what is the probability you pass the exam (correct guess on 60% or more of the questions)? Assume none of the questions have more than one correct answer (hint: this assumption of only 1 correct choice out of 4 makes the distribution of X, the number of correct guesses, binomial.) What is the expected number of correct guesses, ux from the above problem? What is the standard deviation (remember that X is a binomial random variable.) What would be considered an unusual number of correct guesses on the test mentioned in the problem using ux +/- 2*standard deviation?
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.
Suppose you take a 30-question, multiple-choice test, in which each question contains 4 choices: A, B, C, and D.
If you randomly guess on all 30 questions, what is the
What is the expected number of correct guesses, ux from the above problem? What is the standard deviation (remember that X is a binomial random variable.)
What would be considered an unusual number of correct guesses on the test mentioned in the problem using ux +/- 2*standard deviation?
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