Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
To determine the probability [tex]\( P(A \text{ and } B) \)[/tex] where [tex]\( A \)[/tex] is the event that a person prefers Internet Only and [tex]\( B \)[/tex] is the event that a person is on the 3rd floor, follow these steps:
1. Identify the total number of people in the surveyed group:
The total number of people is given by the sum of all entries in the table, which is 117.
2. Determine the number of people who satisfy both conditions [tex]\( A \)[/tex] and [tex]\( B \)[/tex]:
From the table, the number of people who prefer Internet Only on the 3rd floor is 11.
3. Calculate the probability [tex]\( P(A \text{ and } B) \)[/tex]:
The probability of both events occurring is given by the ratio of the number of favorable outcomes to the total number of outcomes. In this case, it is the number of people who prefer Internet Only on the 3rd floor divided by the total number of people.
Therefore, [tex]\( P(A \text{ and } B) = \frac{11}{117} \)[/tex].
Upon evaluating [tex]\( \frac{11}{117} \)[/tex], we obtain:
[tex]\[ P(A \text{ and } B) \approx 0.09401709401709402 \][/tex]
Hence, the probability [tex]\( P(A \text{ and } B) \)[/tex] is approximately 0.094, which matches with option:
[tex]\[ P(A \text{ and } B) = 0.094 \][/tex]
Thus, the correct answer is:
[tex]\[ 0.094 \][/tex]
1. Identify the total number of people in the surveyed group:
The total number of people is given by the sum of all entries in the table, which is 117.
2. Determine the number of people who satisfy both conditions [tex]\( A \)[/tex] and [tex]\( B \)[/tex]:
From the table, the number of people who prefer Internet Only on the 3rd floor is 11.
3. Calculate the probability [tex]\( P(A \text{ and } B) \)[/tex]:
The probability of both events occurring is given by the ratio of the number of favorable outcomes to the total number of outcomes. In this case, it is the number of people who prefer Internet Only on the 3rd floor divided by the total number of people.
Therefore, [tex]\( P(A \text{ and } B) = \frac{11}{117} \)[/tex].
Upon evaluating [tex]\( \frac{11}{117} \)[/tex], we obtain:
[tex]\[ P(A \text{ and } B) \approx 0.09401709401709402 \][/tex]
Hence, the probability [tex]\( P(A \text{ and } B) \)[/tex] is approximately 0.094, which matches with option:
[tex]\[ P(A \text{ and } B) = 0.094 \][/tex]
Thus, the correct answer is:
[tex]\[ 0.094 \][/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.