https://file.aiquickdraw.com/mathbot/file/1725416626083yusnxr8e.jpg

I see that you've uploaded an image. Let me process it and extract the mathematical content to assist you with solving the problem.From the image, I can see that there is a table and a question related to finding a probability or a specific value, followed by multiple-choice options.

Here’s the breakdown:

- There is a table with multiple columns and rows, possibly representing a distribution of some values.
- The question seems to ask for the value of \(\sum x \cdot f(x)\), which typically suggests you're being asked to calculate the expected value \(E(X)\) for a probability distribution. Here, \(x\) represents a random variable and \(f(x)\) is likely its corresponding frequency or probability.

Could you clarify if this is a probability distribution problem where you need to compute the expected value (or something similar)? If so, I can guide you through the necessary steps.

Let me know if you'd like me to continue solving based on that assumption or if there's anything more specific I should know!

Find the expected value (E(X)) for the given data in the table.

This guide explains how to calculate the expected value (E(X)) using a probability distribution table. Learn to apply the expected value formula with detailed steps, suitable for students in Grades 9-11.

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