Question

The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. 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 7 Coffeeton residents. Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name

Answer 1

Answer:

0.287

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

P = ₇C₄ (0.53)⁴ (0.47)³

P ≈ 0.287