Demographics of social media news consumers: In 2022, the users of Social Media for news was distributed according to the following age groups.

Age Group	Percentage
18-34	37.9
35-44	23.3
45-64	28.9
65+	9.9
Please convert all answers to decimal form.

a. What is the probability that a Social Media News user selected at random is between 18 and 44 inclusive?

b. What is the probability that a Social Media News user selected at random is between 35 and 64 inclusive?

c. What is the probability that a selected Social Media News user is under 65?

To solve these questions, we’ll convert each percentage into decimal form and use the data provided for each specified age range.

The conversions from percentages to decimals are as follows:

\[
\text{18-34: } 37.9\% = 0.379, \quad \text{35-44: } 23.3\% = 0.233, \quad \text{45-64: } 28.9\% = 0.289, \quad \text{65+: } 9.9\% = 0.099
\]

Now, let’s solve each part:

### Part (a)
**What is the probability that a Social Media News user selected at random is between 18 and 44 inclusive?**

For this, we add the probabilities for the age groups 18-34 and 35-44.

\[
P(\text{18-44}) = 0.379 + 0.233 = 0.612
\]

**Answer for (a):** The probability that a Social Media News user selected at random is between 18 and 44 is **0.612**.

### Part (b)
**What is the probability that a Social Media News user selected at random is between 35 and 64 inclusive?**

Here, we add the probabilities for the age groups 35-44 and 45-64.

\[
P(\text{35-64}) = 0.233 + 0.289 = 0.522
\]

**Answer for (b):** The probability that a Social Media News user selected at random is between 35 and 64 is **0.522**.

### Part (c)
**What is the probability that a selected Social Media News user is under 65?**

To find the probability of a user being under 65, we add the probabilities for the age groups 18-34, 35-44, and 45-64.

\[
P(\text{Under 65}) = 0.379 + 0.233 + 0.289 = 0.901
\]

**Answer for (c):** The probability that a selected Social Media News user is under 65 is **0.901**.

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Would you like more details on any part of this solution, or do you have any questions?

### Related Questions
1. What is the probability of a Social Media News user being 45 years or older?
2. If a Social Media News user is under 35, what is the probability they fall in the 18-34 age group?
3. How might the probability change if the 18-34 age group increased by 5%?
4. What is the probability that a user selected at random is either between 18 and 34 or over 65?
5. How would these probabilities shift if the age groups were divided differently?

#### Tip
When dealing with probability questions, verify all probabilities add up to 1 (or 100%) to confirm the completeness of data.

Demographics of social media news consumers: In 2022, the users of Social Media for news was distributed according to the following age groups. Age Group: Percentage 18-34: 37.9%, 35-44: 23.3%, 45-64: 28.9%, 65+: 9.9%. Please convert all answers to decimal form. a. What is the probability that a Social Media News user selected at random is between 18 and 44 inclusive? b. What is the probability that a Social Media News user selected at random is between 35 and 64 inclusive? c. What is the probability that a selected Social Media News user is under 65?

Solve probability questions based on the 2022 demographics of social media news consumers. Learn how to convert percentages to decimals and calculate the probability of selecting users from specific age groups like 18-44 and 35-64. Detailed step-by-step solution suitable for students in Grades 6-8.

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