Suppose 20% of the people in a city prefer Pepsi-Cola as their soft drink of choice. If a random sample of six people is chosen, the number of Pepsi drinkers can 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.

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Number of Pepsi Drinkers 0 1 2 3 4 5 6 Probability 0.262 0.393 0.246 0.082 0.015 0.002 0.000