Please, help me. I need the right answer. **Finding the Mean of a Probability Distribution**In this exercise, we are tasked with finding the mean of the given probability distribution. The table provided outlines the values of \( x \) and their corresponding probabilities \( P(x) \).| \( x \) | \( P(x) \) ||---------|-------------|| 0 | 0.0666 || 1 | 0.1178 || 2 | 0.1716 || 3 | 0.3764 || 4 | 0.2676 |**Instructions:**To calculate the mean (\( \mu \)) of this probability distribution, use the formula:\[\mu = \sum{x \cdot P(x)}\]**Calculation:**Compute \( \mu \) using the given table:\[\mu = (0 \times 0.0666) + (1 \times 0.1178) + (2 \times 0.1716) + (3 \times 0.3764) + (4 \times 0.2676)\]After calculating, the mean is found to be **2.6606**.This computed mean represents the expected value of the random variable \( x \) based on its probability distribution.**User Interface:**- A button labeled **"Submit Question"** is available below the calculation area.- Score details indicate the score of the last attempt, in this case, "0 of 1 pts".This exercise aids in understanding how to calculate the mean of a probability distribution, a fundamental concept in statistics.

Name: Please, help me. I need the right answer. **Finding the Mean of a Prob
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please, help me. I need the right answer. **Finding the Mean of a Probability Distribution**In this exercise, we are tasked with finding the mean of the given probability distribution. The table provided outlines the values of \( x \) and their corre