Question

the brand name of a certain chain of coffee shops has a 53% 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 town. he selects a random sample of 10 coffleton residents. find the probability that the number that recognize the brand name is not 4.

Answer 1

This problem can be solve using the Binomial Distribution, it is a recurrence conveyance of the conceivable number of effective results in a given number of trials in each of which there is a similar likelihood of accomplishment.

Let be X: coffleton residents recognize the brand name 

n = 10 

p = 0.53

q = 0.47 

P(X = 4) = 

(10)
 
(4)*(0.53^4)*(0.47^6) = 0.00340