General Directions: Solve the following problems. Write your answers on the space provided.
For items 1-18
Three hundred fifty returning OFW's were quarantined in two different locations, Nova Hotel and Diplomat Lodge. After the mandatory 14-day quarantine, they were interviewed whether they were satisfied or dissatisfied on the services
available during the quarantine. The following table summarizes their responses.
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Answer:
1. Let A be the event that the person is not satisfied.
2. Let B be the event that the person
stayed at Diplomat Lodge.
3. n(A) = 26 (number of people who were dissatisfied at Diplomat Lodge).
4. n(B) = 153 (number of people who stayed at Diplomat Lodge).
5. N(ANB) = 26 (number of people who were dissatisfied and stayed at Diplomat Lodge).
6. We want to find P(A|B), the probability that a person is not satisfied given that they stayed at Diplomat Lodge. This can be calculated using Bayes' theorem:
P(A|B) = P(BIA) + P(A) / P(B) *
We know that P(BIA) = N(ANB) / n(A) = 26/80, and P(A) = n(A) / N = 80/350. We also know that P(B) = n(B) / N = 153/350. Substituting these values, we get:
P(A|B) = (26/80) * (80/350) /
(153/350)
P(A|B) = 0.137
Therefore, the probability that a person is not satisfied given that they stayed at Diplomat Lodge is 0.137.