The Pew Research Center asked a random sample of 2024 adult cellphone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data. begin{array}{c|ccc|c} & 18-34 & 35-54 & 55+ & text { Total } hline text { iPhone } & 169 & 171 & 127 & 467 text { Androod } & 214 & 189 & 100 & 503 text { Other } & 134 & 277 & 643 & 1054 hline text { Total } & 517 & 637 & 870 & 2024 end{array} Suppose we select one of the survey respondents at random. What's the probability that: The person is not age 18 to 34 and does not own an iPhone?

The Pew Research Center asked a random sample of 2024 adult cellphone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data. begin{array}{c|ccc|c} & 18-34 & 35-54 & 55+ & text { Total } hline text { iPhone } & 169 & 171 & 127 & 467 text { Androod } & 214 & 189 & 100 & 503 text { Other } & 134 & 277 & 643 & 1054 hline text { Total } & 517 & 637 & 870 & 2024 end{array} Suppose we select one of the survey respondents at random. What's the probability that: The person is not age 18 to 34 and does not own an iPhone?

Question
Two-way tables
asked 2021-02-02
The Pew Research Center asked a random sample of 2024 adult cellphone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.
\(\begin{array}{c|ccc|c} & 18-34 & 35-54 & 55+ & \text { Total } \\ \hline \text { iPhone } & 169 & 171 & 127 & 467 \\ \text { Androod } & 214 & 189 & 100 & 503 \\ \text { Other } & 134 & 277 & 643 & 1054 \\ \hline \text { Total } & 517 & 637 & 870 & 2024 \end{array}\)
Suppose we select one of the survey respondents at random. What's the probability that: The person is not age 18 to 34 and does not own an iPhone?

Answers (1)

2021-02-03

Given:
The table contains data of 2024 adult cell-phone users.
\(\text{# of possible outcomes }= 2024\)
All people who arenot the age 18-34 and who do not own aniPhone are given in the rows "35-54" and "55+”, while they are also given in the columns Android” and "Other. Adding all corresponding counts, we then note that: this corresponds with \(189 + 100 +277 + 643 = 1209\) individuals who are not age 18 to 34 and who do not own an iPhone.
\(\text{# of favorable outcomes} = 1209\)
The probability is the number of favorable outcomes divided by the number of possible outcomes:
\(P(\text{Not 18 to 34 and not own iPhone})=\frac{\text{# of favorable outcomes}}{\text{of possible outcomes}}\)
\(=\frac{1209}{2024}\)
\(\approx 0.5973\)
\(=59.73\%\)

0

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