A book is randomly chosen from a library shelf. For each of the following characteristics of the book, decide whether the characteristic is a continuous or a discrete random variable: a. Weight of the book (e. g., 2.3 pounds) b. Number of chapters in the book (e. g., 10 chapters) c. Width of the book (e. g., 8 inches) d. Type of book (0=hardback or 1=paperback) e. Number of typographical errors in the book (e. g., 4 errors

Question

Conner Best

Mathematics

5 April, 00:15

A book is randomly chosen from a library shelf. For each of the following characteristics of the book, decide whether the characteristic is a continuous or a discrete random variable: a. Weight of the book (e. g., 2.3 pounds) b. Number of chapters in the book (e. g., 10 chapters) c. Width of the book (e. g., 8 inches) d. Type of book (0=hardback or 1=paperback) e. Number of typographical errors in the book (e. g., 4 errors

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Answers (1)

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Jenna Mcclain · Answer 1

a) Continuous since the weight can take decimals for example 2.3 pounds.

b) Discrete since the number of chapters in a book represent an integer, we can't say that abook have 4.3 chapters because not makes sense, we say the book have 4 or 5 chapters

c) Continuous since we can measure the width and we can get 8.3 inches so then the variable can takes decimals and for this reason is Continuous

d) Discrete since that's a binary variable and only take integers.

e) Discrete since the number of errors can't be 4.3 for example, and can't take decimals.

Step-by-step explanation:

Previous concepts

A continuous random variable by definition is a "random variable where the data can take infinitely many values" defined on a interval.

And a discrete random variable is a random variable that only can takes integers and is defined over a domain

Solution to the problem

a. Weight of the book (e. g., 2.3 pounds)

Continuous since the weight can take decimals for example 2.3 pounds.

b. Number of chapters in the book (e. g., 10 chapters)

Discrete since the number of chapters in a book represent an integer, we can't say that abook have 4.3 chapters because not makes sense, we say the book have 4 or 5 chapters

c. Width of the book (e. g., 8 inches)

Continuous since we can measure the width and we can get 8.3 inches so then the variable can takes decimals and for this reason is Continuous

d. Type of book (0=hardback or 1=paperback)

Discrete since that's a binary variable and only take integers.

e. Number of typographical errors in the book (e. g., 4 errors)

Discrete since the number of errors can't be 4.3 for example, and can't take decimals.