25. Pepsi or Coke? Two of the biggest soft drink rivals, Pepsi and Coke, are very concerned about their market shares. The pie chart that follows claims that Coke’s share of the beverage market is 36%.11 Assume that this proportion will be close to the probability that a person selected at random indicates a preference for a Coke product when choosing a soft drink.

A group of n5500 consumers is selected and the number preferring a Coke product is recorded. Use the normal curve to approximate the following binomial probabilities.

a. Exactly 200 consumers prefer a Coke product.

b. Between 175 and 200 consumers (inclusive) prefer a Coke product.

c. Fewer than 200 consumers prefer a Coke product.

d. Would it be unusual to find that 232 of the 500 consumers preferred a Coke product? If this were to occur, what conclusions would you draw?

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Share of Voice for Beverage Brands Dr. Pepper- 12% 7up 2% Fanta 1% -Vitamin Water 1% Coke Pepsi 14% 36% Mountain Dew 14% Red Bull 20%