Suppose 20% of the people in a city prefer Pepsi-Cola as their soft drink of cho

Question

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 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.

(Round your answers to 3 decimal places.)

Explanation / Answer

p = 0.2

n = 6

This is a binomial distribution.

Mean = n * p = 6 * 0.2 = 1.2

Variance = n * p * (1-p) = 6 * 0.2 * 0.8 = 0.96

Standard deviation= sqrt (0.96) = 0.98

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