Historical data indicates that only 20% of cable customers are willing to switch

Question

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 E) 0.794
I'm unsure of how to work this out. 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 E) 0.794
I'm unsure of how to work this out. A) 0.1 B) 0.04 C) 0.137 D) 0.206 E) 0.794
I'm unsure of how to work this out.

Explanation / Answer

Solution:- The probability that exactly 2 customers would be willing to switch their cable is 0.137.

p = 20/100 = 0.20

n = 20, x = 2

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x = 2) = 0.1369

P(x = 2) = 0.137

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