Explanation Given: The number of U.S. households within each of four income group in which someone owns a smart phone are given in table below, Income($) < 30 , 000 30 , 000 − 49 , 999 50 , 000 − 74 , 999 75 , 000 + Number of Owners (in thousands) 11 , 817 8 , 475 7 , 609 32 , 057 Let, the random variable X denotes the values 1, 2, 3 and 4, corresponding to the income groups < 30 , 000 , 30 , 000 − 49 , 999 , 50 , 000 − 74 , 999 , and 75 , 000 + , respectively. Approach: The probability of the event can be calculated by the formula shown below, P ( E ) = n ( E ) n ( S ) … (1) Here, P ( E ) is the probability of the event E , n ( E ) is the number of favorable outcomes for E and n ( S ) is the total number of outcomes. Calculation: Find the total number of outcomes from the given data as follows, n ( S ) = ( 11 , 817 + 8 , 475 + 7 , 609 + 32 , 057 ) × 10 3 = 59 , 958000 Substitute 11 , 817000 for n ( E ) , and 59 , 958000 for n ( S ) in the equation (1) to find the probability associated with the income group which has 1 value X ( X = 1 ) , To determine b) To find: The probability of a smartphone user that his or her household income is between $ 30 , 000 and $ 74 , 999 .

Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition

11th Edition

ISBN: 9781305283831

Author: Tan

Publisher: Cengage Learning

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Chapter 8.1, Problem 30E

To determine

a)

To find:

The probability distribution associated with the given data.

To determine

b)

To find:

The probability of a smartphone user that his or her household income is between $30,000 and $74,999.

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Chapter 8.1, Problem 29E

Chapter 8.1, Problem 31E

Chapter 8 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition

Ch. 8.1 - What is a random variable? Give an example.Ch. 8.1 - Prob. 2CQ Ch. 8.1 - Prob. 3CQ Ch. 8.1 - Three balls are selected at random without...Ch. 8.1 - 2.A coin is tossed four times. Let the random...Ch. 8.1 - A die is rolled repeatedly until a 6 falls...Ch. 8.1 - Cards are selected one at a time without...Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E

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a) To find: The probability distribution associated with the given data.

Solution Summary: The author explains the probability distribution associated with the given data.