PC Magazine (December 2019) reported the results of a survey of 1,000 parents of school-age children pertaining to the appropriate age the child should receive his or her first digital device. The age group proportions reported for a smart speaker (e.g., Amazon Echo, Google Home) are displayed in the table. A parent of a school age child is randomly selected and asked at what age they would buy their child a smart speaker.

a. List the possible outcomes for this study.

b. Use the survey results to assign probabilities to the outcomes.

c. What is the probability that the parent responds with an age between 12 and 18 years?

d. What is the probability that the parent responds with an age of 11 years or younger?

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Appropriate Age to Buy a Smart Speaker 3-5 years 6-8 years 9-11 years 12-15 years 16-18 years Proportion .05 .09 .20 .27 .39