4 The brand name of a certain chain of coffee shops has 53 r

4. The brand name of a certain chain of coffee shops has 53% recognition rate in the town of Javaville. And executive from the company wants to verify the recognition rates as the company is interested in opening a coffee shop in town. In a random selection of 7 Javaville residents, use the binomial distribution to find the probability of:

a. Getting exactly four who recognize the brand.

b. Getting 2 or fewer who recognize the brand.

c. Getting at least one that recognizes the brand.

d. Find the mean and standard deviation for the number that recognize the brand.

e. Would it be unusual for all 7 to recognize the brand?

Solution