Question

harris interactive conducted a survey in which they asked adult americans (18 years or older) whether they used social media (facebook, twitter, and so on) regularly. the following table is a sub - sample based on the results of the survey. complete parts (a) through (d).
click the icon to view the table.
(a) if an adult american is randomly selected, what is the probability they use social media?
p(use social media) = 0.641
(round to three decimal places as needed.)
(b) if an adult american is randomly selected, what is the probability they are 45 to 54 years of age?
p(45 - 54) =
(round to three decimal places as needed.)

Explanation:

Step1: Determine the formula for probability

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)

Step2: Identify the number of favorable and total outcomes

From the table, the number of people in the \(45 - 54\) age group is \(136\), and the total number of people surveyed is \(504\)
So, \(P(45 - 54)=\frac{136}{504}\)

Step3: Calculate the probability

\(\frac{136}{504}\approx0.270\) (rounded to three decimal places)

Answer:

\(0.270\)