Historical data indicates that only 20% of cable customers are willing to switch companies.If a binomial process is assumed, then in a sample of 20 cable customers, what is the probability that exactly 2 customers would be willing to switch their cable?
A)0.1
B)0.04
C)0.137
D)0.206

Question

Quizplus · Accepted Answer

We have n = 20, the probability of success (finding a customer willing to switch) is p = 0.20, and we want to find the probability of exactly 2 successes, so we use the binomial probability formula:

P(X=2) = (20 choose 2) * (0.20)^2 * (0.80)^18
         = 190 * 0.04 * 0.006
         = 0.1368

Therefore, the answer is C, 0.137.

Historical Data Indicates That Only 20% of Cable Customers Are