In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (no two respondents were from the same household.) among the respondents, 215215 answered "none," 280280 said "one," 362362 said "two," 149149 said "three," and 140140 responded with four or more. a survey respondent is selected at random. find the probability that his/her household has four or more cell phones in use. is it unlikely for a household to have four or more cell phones in use? consider an event to be unlikely if its probability is less than or equal to 0.05.

Question

Alyson Hayes

Business

17 May, 18:23

In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (no two respondents were from the same household.) among the respondents, 215215 answered "none," 280280 said "one," 362362 said "two," 149149 said "three," and 140140 responded with four or more. a survey respondent is selected at random. find the probability that his/her household has four or more cell phones in use. is it unlikely for a household to have four or more cell phones in use? consider an event to be unlikely if its probability is less than or equal to 0.05.

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Answers (1)

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Eden Mack · Answer 1

A. Let us tabulate the dа ta:

none - 215 respondents

one - 280 respondents

two - 362 respondents

three - 149 respondents

four or more - 140 respondents

So the total number of respondents are:

total = 1146

So the probability that the selected household has four or more cell phones is:

P = 140 / 1146 = 0.122

So there is a 0.122 chance or 12.2% chance that the selected household has four or more cell phones.

B. Since P > 0.05, therefore it is not an unlikely event.