On any given day, a student is either healthy or ill. Of the students who are healthy today, 95 percent will be healthy tomorrow. Of the students who are ill today, 55 percent will be ill tomorrow. Let xo (respectively yo) be the proportion of students who are healthy (respectively ill) on Monday. Let xn (resp. Yn) be the proportion of students who are healthy (resp. ill) after n days. You may define a matrix A: а Example of a 2 × 2 matrix A = such that (: :)(:)-() a b d Xn Xn+1 Yn Yn+1 for all n > 0. Suppose that 20 percent of students are ill on Monday. What percentage of students will still be ill on Tuesday? on Wednesday? in n days? Your teacher thinks about the attandance to class so he wants to know. From the given information above, you determine the ill student percentage is in the long term (as n gets very large). Note : The answer must be an integer and its value must be between 0 and 100.
On any given day, a student is either healthy or ill. Of the students who are healthy today, 95 percent will be healthy tomorrow. Of the students who are ill today, 55 percent will be ill tomorrow. Let xo (respectively yo) be the proportion of students who are healthy (respectively ill) on Monday. Let xn (resp. Yn) be the proportion of students who are healthy (resp. ill) after n days. You may define a matrix A: а Example of a 2 × 2 matrix A = such that (: :)(:)-() a b d Xn Xn+1 Yn Yn+1 for all n > 0. Suppose that 20 percent of students are ill on Monday. What percentage of students will still be ill on Tuesday? on Wednesday? in n days? Your teacher thinks about the attandance to class so he wants to know. From the given information above, you determine the ill student percentage is in the long term (as n gets very large). Note : The answer must be an integer and its value must be between 0 and 100.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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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