How do you get μ, σ^2 and σ using these numbers **Title: Probability Distribution and Standard Deviation in Sampling****Introduction:**In a city, it is observed that 20% of the population prefers Pepsi-Cola as their soft drink of choice. When a random sample of six people is selected, the number of Pepsi drinkers can vary from zero to six. This study aims to explore the potential distribution of Pepsi drinkers within such a sample and to calculate the mean and standard deviation.**Data Table:**| Number of Pepsi Drinkers | Probability ||--------------------------|-------------|| 0 | 0.262 || 1 | 0.393 || 2 | 0.246 || 3 | 0.082 || 4 | 0.015 || 5 | 0.002 || 6 | 0.000 |**Instructions:**To gain insights from the provided table, calculate the mean (expected value) and the standard deviation of the number of Pepsi drinkers in the sample. Round the intermediate values and final answers to three decimal places.**Formulae:**1. **Mean (\( \mu \)) Calculation:** \[ \mu = \sum (x \times P(x)) \] Where \( x \) is the number of drinkers and \( P(x) \) is the probability.2. **Standard Deviation (\( \sigma \)) Calculation:** \[ \sigma = \sqrt{\sum [(x - \mu)^2 \times P(x)]} \]**Input Fields for Calculation:**- Enter the calculated mean (\( \mu \)):- Enter the calculated standard deviation (\( \sigma \)):**Submission:**Complete the calculations and input your answers in the fields provided. Once satisfied, click "Submit Answer" to finalize your attempts.**Resources:**For additional information, refer to the textbook and media resources provided. Save your progress to complete later if needed.**Note:** You have three attempts to submit your answers.

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preter Pepsi-Cola as their soft drink of choice. If a random sample of six people is chosen, the number of Pepsi drinkers could range from zero to six. Shown here are the possible numbers of Pepsi drinkers in a sample of six people and the probability of that number of Pepsi drinkers occurring in the sample. Use the data to determine the mean number of Pepsi drinkers in a sample of six people in the city, and compute the standard deviation. Number of Pepsi Drinkers 0 1 2 3 4 5 6 eTextbook and Media Probability Save for Later 0.262 0.393 0.246 0.082 0.015 0.002 (Round the intermediate values and final answers to 3 decimal places) 11= 0.000 Assistance Used Attempts: 0 of 3 used Submit Answer