28. Phone calls for a company are routed randomly to one of eight call centers. Six are based in the United States, and two are based in another country. What is the probability that an incoming call will be routed to a U.S.-based call center?
Answer: D
The probability that an incoming call will be routed to a U.S.-based call center is 75%.
With six out of a total of eight call centers located in the United States, the probability of an incoming call being routed to a U.S.-based center is calculated as 6 divided by 8, which simplifies to 75%.
A) 25%
This option is incorrect because a probability of 25% would imply that only two out of eight call centers are U.S.-based, which contradicts the information provided that six centers are located in the U.S.
B) 33%
Choosing 33% would indicate that approximately three out of eight call centers are U.S.-based. This is inaccurate given that there are six U.S.-based centers, making this option incorrect.
C) 67%
This option suggests that about two-thirds of the call centers are U.S.-based, which would equate to roughly five out of eight. However, since there are six U.S.-based centers, this option is also incorrect.
D) 75%
This option is correct as it accurately represents the probability of an incoming call being routed to a U.S.-based call center. With six U.S.-based centers out of a total of eight, the calculation yields 75%.
Conclusion
The correct probability of an incoming call being routed to a U.S.-based call center is definitively 75%, as it is derived from the ratio of U.S. centers to the total number of call centers. All other options fail to reflect the correct proportion of U.S.-based centers, thus reinforcing that D is the only viable choice.