Answered: survey of American households found…

survey of American households found that 1/2 had a land line, 7/12 had cable, and 1/4 had neither. What proportion had both a land line and cable?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A survey of American households found that 1/2 had a land line, 7/12 had cable, and 1/4 had neither. What proportion had both a land line and cable?

Expert Solution

Step 1

Given:

P( L) = 1/2

P(C) = 7/12

P( None) = P( L U C)^C= 1/4

P ( L U C) = 1 - P( L U C)^C= 1- 1/4 = 3/4

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