The brand name of a certain chain of coffee shops has a 54% 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 10 coffleton residents. find the probability that exactly 4 of the 10 coffleton residents recognize the brand name.
a. 0.140
b. 0.106
c. 0.000667
d. 0.0604

the answer is not in the option, 0.169

Step-by-step explanation:

The brand name of a certain chain of coffee shops has a 54% 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 10 Coffleton residents. Find the probability that exactly 4 of the 10 Coffleton residents recognize the brand name.

a. 0.140

b. 0.106

c. 0.000667

d. 0.0604

probability is likelihood of an event to occur. probability that an event will occur is usually less than 1

is the formula to use

P=.54

Q=.46

n=10

r=4

210*0.54^4*0.46^6

0.169

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80