Answer:
The probability of getting someone in the 18-21 age bracket or someone who agreed to respond is 0.6757.
Step-by-step explanation:
The data provided is summarized in the table below.
The probability of randomly selecting a person, from the 367 people, in the age group 18-21 or someone who agreed to respond is:
P (A person in the age group 18-21 OR agreed to respond)
= P (A person in the age group 18-21) + P (A person agreed to respond)
- P (A person in the age group 18-21 AND agreed to respond)
[tex]=\frac{101}{367}+\frac{324}{367}-\frac{86}{367}[/tex]
[tex]=\frac{101+324-86}{367}\\[/tex]
[tex]=\frac{248}{367}[/tex]
[tex]=0.6757[/tex]
Thus, the probability of getting someone in the 18-21 age bracket or someone who agreed to respond is 0.6757.