SOLUTION: The brand name of a certain chain of coffee shops has a 52​% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as

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Question 1120683: The brand name of a certain chain of coffee shops has a 52​% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 8 Coffleton residents. Find the probability that the number that recognize the brand name is not 4. Round to three decimal places.
Answer by greenestamps(13200) About Me  (Show Source):
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Using binomial probability, the probability that exactly 4 of the 8 recognize the brand name is

C%288%2C4%29%28%28.52%29%5E4%2A%28.48%29%5E4%29%29=0.272 to 3 decimal places.

The probability that the number that recognize the brand name is NOT 4 is 1-0.272 = 0.728.