Questions: The probability that a randomly selected person uses a social networking site is (Round to three decimal places as needed.)

Transcript text: The probability that a randomly selected person uses a social networking site is (Round to three decimal places as needed.)

Solution

Solution Steps

Step 1: Understanding the Problem

We are tasked with finding the probability that a randomly selected person uses a social networking site. This is modeled as a Bernoulli distribution, where the probability of success (using a social networking site) is denoted by \( p \).

Step 2: Setting Up the Bernoulli Distribution

In a Bernoulli distribution, there are two possible outcomes:

Success (\( X = 1 \)): The person uses a social networking site.
Failure (\( X = 0 \)): The person does not use a social networking site.

The probabilities are defined as:

\( P(X = 1) = p \)
\( P(X = 0) = 1 - p \)

Step 3: Calculating the Probability

Given that the probability of success is \( p = 0.5 \), we calculate:

\( P(X = 1) = p = 0.5 \)
\( P(X = 0) = 1 - p = 0.5 \)

Final Answer

The probability that a randomly selected person uses a social networking site is \( \boxed{0.5} \).

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