When surveyed for brand recognition, 95% of consumers recognize Coke (based on data from Total Research Corporation). A new survey of 1200 randomly selected consumers is to be conducted. For such a group of 1200, consider as unusual any result that differs from the mean by more than two standard deviations. That is, unusual values are either less than σ - 2σ or greater than µ + 2σ.
a. Find the mean and standard deviation for the number who recognize the Coke brand name.
b. Is it unusual to get 1170 consumers who recognize the Coke brand name?