Internet service providers (ISP) need to resolve customer problems as quickly as possible.For one ISP, past data indicates that the likelihood is .80 that customer calls regarding Internet service interruptions are resolved within one hour.Out of the next 10 customer calls about interrupted service, the probability that exactly 7 will be resolved within one hour is ________________________ .
A)0.2013
B)0.8791
C)0.7897
D)0.3452
E)0.1209

Question

Quizplus · Accepted Answer

This is a binomial probability problem where n = 10 (number of trials), k = 7 (number of successes), p = 0.80 (probability of success on a single trial), and q = 1 - p = 0.20 (probability of failure). The formula for binomial probability is P(X = k) = (nCk) * p^k * q^(n-k). Plugging in the values: P(X = 7) = (10C7) * (0.80)^7 * (0.20)^3 = 0.2013.

Internet Service Providers (ISP) Need to Resolve Customer Problems as Quickly