Respuesta :
Answer:
The probability of randomly select an adult that has between 18 and 29 years old and use social media is 22.3%
Step-by-step explanation:
As the test is targeted to 18-to-29-year-old adults using social media, we want to know the probability that a randomly selected adult uses social media and belong to the study group.
To achieve this, we have this data:
- 36% of all adults do not use social media
- 75% of all adults are >30 years old.
- The percentage of population that is either 18-29 years old or uses social media is 66.7%
Using the last data we have that
[tex]P(social\,media=yes\, or\,18-29=yes)=P(social\,media=yes)+P(18-29=yes)-P(social\,media=yes\, \&\,18-29=yes)\\\\0.667=(1-0.36)+(1-0.75)-P(social\,media=yes\, \&\,18-29=yes)\\\\0.667=0.64+0.25-P(social\,media=yes\, \&\,18-29=yes)\\\\P(social\,media=yes\, \&\,18-29=yes)=0.64+0.25-0.667=0.223[/tex]
The probability of randomly select an adult that has between 18 and 29 years old and use social media is 22.3%
